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Finding the Fourth Proportional to 15,646.92, 23,463.36 and 9,324.78

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Solution

The fourth proportional to 15,646.92, 23,463.36 and 9,324.78 is: 13,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.92 : 23,463.36 = 9,324.78 : x
  2. Step 2: Convert to fraction form
    15,646.92/23,463.36 = 9,324.78/x
  3. Step 3: Cross multiply
    15,646.92x = 23,463.36 × 9,324.78
  4. Step 4: Simplify right side
    15,646.92x = 218,790,670.06
  5. Step 5: Solve for x
    x = 218,790,670.06/15,646.92
  6. Step 6: Final answer
    x = 13,982.99

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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.