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Finding the Fourth Proportional to 20,502.27, 30,753.38 and 15,829.11

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Solution

The fourth proportional to 20,502.27, 30,753.38 and 15,829.11 is: 23,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.27 : 30,753.38 = 15,829.11 : x
  2. Step 2: Convert to fraction form
    20,502.27/30,753.38 = 15,829.11/x
  3. Step 3: Cross multiply
    20,502.27x = 30,753.38 × 15,829.11
  4. Step 4: Simplify right side
    20,502.27x = 486,798,674.46
  5. Step 5: Solve for x
    x = 486,798,674.46/20,502.27
  6. Step 6: Final answer
    x = 23,743.65

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