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Finding the Fourth Proportional to 22,540.68, 31,108.05 and 12,471.57

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Solution

The fourth proportional to 22,540.68, 31,108.05 and 12,471.57 is: 17,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.68 : 31,108.05 = 12,471.57 : x
  2. Step 2: Convert to fraction form
    22,540.68/31,108.05 = 12,471.57/x
  3. Step 3: Cross multiply
    22,540.68x = 31,108.05 × 12,471.57
  4. Step 4: Simplify right side
    22,540.68x = 387,966,223.14
  5. Step 5: Solve for x
    x = 387,966,223.14/22,540.68
  6. Step 6: Final answer
    x = 17,211.82

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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.