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Finding the Fourth Proportional to 23,732.60, 32,720.55 and 15,219.24

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Solution

The fourth proportional to 23,732.60, 32,720.55 and 15,219.24 is: 20,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.60 : 32,720.55 = 15,219.24 : x
  2. Step 2: Convert to fraction form
    23,732.60/32,720.55 = 15,219.24/x
  3. Step 3: Cross multiply
    23,732.60x = 32,720.55 × 15,219.24
  4. Step 4: Simplify right side
    23,732.60x = 497,981,903.38
  5. Step 5: Solve for x
    x = 497,981,903.38/23,732.60
  6. Step 6: Final answer
    x = 20,983.04

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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.