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Finding the Fourth Proportional to 23,219.52, 32,043.04 and 12,609.14

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Solution

The fourth proportional to 23,219.52, 32,043.04 and 12,609.14 is: 17,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.52 : 32,043.04 = 12,609.14 : x
  2. Step 2: Convert to fraction form
    23,219.52/32,043.04 = 12,609.14/x
  3. Step 3: Cross multiply
    23,219.52x = 32,043.04 × 12,609.14
  4. Step 4: Simplify right side
    23,219.52x = 404,035,177.39
  5. Step 5: Solve for x
    x = 404,035,177.39/23,219.52
  6. Step 6: Final answer
    x = 17,400.67

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.