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Finding the Fourth Proportional to 22,832.71, 31,508.51 and 12,761.21

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Solution

The fourth proportional to 22,832.71, 31,508.51 and 12,761.21 is: 17,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.71 : 31,508.51 = 12,761.21 : x
  2. Step 2: Convert to fraction form
    22,832.71/31,508.51 = 12,761.21/x
  3. Step 3: Cross multiply
    22,832.71x = 31,508.51 × 12,761.21
  4. Step 4: Simplify right side
    22,832.71x = 402,086,727.86
  5. Step 5: Solve for x
    x = 402,086,727.86/22,832.71
  6. Step 6: Final answer
    x = 17,610.12

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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.