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Finding the Fourth Proportional to 22,691.41, 31,311.74 and 12,618.23

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Solution

The fourth proportional to 22,691.41, 31,311.74 and 12,618.23 is: 17,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.41 : 31,311.74 = 12,618.23 : x
  2. Step 2: Convert to fraction form
    22,691.41/31,311.74 = 12,618.23/x
  3. Step 3: Cross multiply
    22,691.41x = 31,311.74 × 12,618.23
  4. Step 4: Simplify right side
    22,691.41x = 395,098,737.02
  5. Step 5: Solve for x
    x = 395,098,737.02/22,691.41
  6. Step 6: Final answer
    x = 17,411.82

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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.