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Finding the Fourth Proportional to 27,724.33, 38,287.54 and 17,657.29

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Solution

The fourth proportional to 27,724.33, 38,287.54 and 17,657.29 is: 24,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.33 : 38,287.54 = 17,657.29 : x
  2. Step 2: Convert to fraction form
    27,724.33/38,287.54 = 17,657.29/x
  3. Step 3: Cross multiply
    27,724.33x = 38,287.54 × 17,657.29
  4. Step 4: Simplify right side
    27,724.33x = 676,054,167.78
  5. Step 5: Solve for x
    x = 676,054,167.78/27,724.33
  6. Step 6: Final answer
    x = 24,384.87

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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.