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Finding the Fourth Proportional to 27,242.58, 40,864.55 and 9,712.41

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Solution

The fourth proportional to 27,242.58, 40,864.55 and 9,712.41 is: 14,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.58 : 40,864.55 = 9,712.41 : x
  2. Step 2: Convert to fraction form
    27,242.58/40,864.55 = 9,712.41/x
  3. Step 3: Cross multiply
    27,242.58x = 40,864.55 × 9,712.41
  4. Step 4: Simplify right side
    27,242.58x = 396,893,116.89
  5. Step 5: Solve for x
    x = 396,893,116.89/27,242.58
  6. Step 6: Final answer
    x = 14,568.85

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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.