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Finding the Fourth Proportional to 23,252.97, 32,088.94 and 12,642.61

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Solution

The fourth proportional to 23,252.97, 32,088.94 and 12,642.61 is: 17,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252.97 : 32,088.94 = 12,642.61 : x
  2. Step 2: Convert to fraction form
    23,252.97/32,088.94 = 12,642.61/x
  3. Step 3: Cross multiply
    23,252.97x = 32,088.94 × 12,642.61
  4. Step 4: Simplify right side
    23,252.97x = 405,687,841.90
  5. Step 5: Solve for x
    x = 405,687,841.90/23,252.97
  6. Step 6: Final answer
    x = 17,446.71

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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.