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Finding the Fourth Proportional to 22,717.65, 31,344.06 and 13,640.66

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Solution

The fourth proportional to 22,717.65, 31,344.06 and 13,640.66 is: 18,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717.65 : 31,344.06 = 13,640.66 : x
  2. Step 2: Convert to fraction form
    22,717.65/31,344.06 = 13,640.66/x
  3. Step 3: Cross multiply
    22,717.65x = 31,344.06 × 13,640.66
  4. Step 4: Simplify right side
    22,717.65x = 427,553,508.76
  5. Step 5: Solve for x
    x = 427,553,508.76/22,717.65
  6. Step 6: Final answer
    x = 18,820.32

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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.