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Finding the Fourth Proportional to 15,149.76, 22,701.12 and 10,201.92

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Solution

The fourth proportional to 15,149.76, 22,701.12 and 10,201.92 is: 15,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.76 : 22,701.12 = 10,201.92 : x
  2. Step 2: Convert to fraction form
    15,149.76/22,701.12 = 10,201.92/x
  3. Step 3: Cross multiply
    15,149.76x = 22,701.12 × 10,201.92
  4. Step 4: Simplify right side
    15,149.76x = 231,595,010.15
  5. Step 5: Solve for x
    x = 231,595,010.15/15,149.76
  6. Step 6: Final answer
    x = 15,287.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.