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Finding the Fourth Proportional to 27,231.72, 40,854.06 and 10,592.16

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Solution

The fourth proportional to 27,231.72, 40,854.06 and 10,592.16 is: 15,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.72 : 40,854.06 = 10,592.16 : x
  2. Step 2: Convert to fraction form
    27,231.72/40,854.06 = 10,592.16/x
  3. Step 3: Cross multiply
    27,231.72x = 40,854.06 × 10,592.16
  4. Step 4: Simplify right side
    27,231.72x = 432,732,740.17
  5. Step 5: Solve for x
    x = 432,732,740.17/27,231.72
  6. Step 6: Final answer
    x = 15,890.76

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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.