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Finding the Fourth Proportional to 16,003.40, 22,427.80 and 16,003.40

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Solution

The fourth proportional to 16,003.40, 22,427.80 and 16,003.40 is: 22,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.40 : 22,427.80 = 16,003.40 : x
  2. Step 2: Convert to fraction form
    16,003.40/22,427.80 = 16,003.40/x
  3. Step 3: Cross multiply
    16,003.40x = 22,427.80 × 16,003.40
  4. Step 4: Simplify right side
    16,003.40x = 358,921,054.52
  5. Step 5: Solve for x
    x = 358,921,054.52/16,003.40
  6. Step 6: Final answer
    x = 22,427.80

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.