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Finding the Fourth Proportional to 27,705.87, 38,229.64 and 15,769.42

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Solution

The fourth proportional to 27,705.87, 38,229.64 and 15,769.42 is: 21,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.87 : 38,229.64 = 15,769.42 : x
  2. Step 2: Convert to fraction form
    27,705.87/38,229.64 = 15,769.42/x
  3. Step 3: Cross multiply
    27,705.87x = 38,229.64 × 15,769.42
  4. Step 4: Simplify right side
    27,705.87x = 602,859,114.61
  5. Step 5: Solve for x
    x = 602,859,114.61/27,705.87
  6. Step 6: Final answer
    x = 21,759.26

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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.