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Finding the Fourth Proportional to 23,595.54, 32,562 and 12,984.90

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Solution

The fourth proportional to 23,595.54, 32,562 and 12,984.90 is: 17,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.54 : 32,562 = 12,984.90 : x
  2. Step 2: Convert to fraction form
    23,595.54/32,562 = 12,984.90/x
  3. Step 3: Cross multiply
    23,595.54x = 32,562 × 12,984.90
  4. Step 4: Simplify right side
    23,595.54x = 422,814,313.80
  5. Step 5: Solve for x
    x = 422,814,313.80/23,595.54
  6. Step 6: Final answer
    x = 17,919.25

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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.