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Finding the Fourth Proportional to 22,635.65, 31,233.89 and 12,564.18

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Solution

The fourth proportional to 22,635.65, 31,233.89 and 12,564.18 is: 17,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.65 : 31,233.89 = 12,564.18 : x
  2. Step 2: Convert to fraction form
    22,635.65/31,233.89 = 12,564.18/x
  3. Step 3: Cross multiply
    22,635.65x = 31,233.89 × 12,564.18
  4. Step 4: Simplify right side
    22,635.65x = 392,428,176.80
  5. Step 5: Solve for x
    x = 392,428,176.80/22,635.65
  6. Step 6: Final answer
    x = 17,336.73

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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.