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Finding the Fourth Proportional to 23,658.96, 32,663.16 and 15,712.08

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Solution

The fourth proportional to 23,658.96, 32,663.16 and 15,712.08 is: 21,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.96 : 32,663.16 = 15,712.08 : x
  2. Step 2: Convert to fraction form
    23,658.96/32,663.16 = 15,712.08/x
  3. Step 3: Cross multiply
    23,658.96x = 32,663.16 × 15,712.08
  4. Step 4: Simplify right side
    23,658.96x = 513,206,182.97
  5. Step 5: Solve for x
    x = 513,206,182.97/23,658.96
  6. Step 6: Final answer
    x = 21,691.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.