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Finding the Fourth Proportional to 27,689.70, 38,211.29 and 15,752.78

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Solution

The fourth proportional to 27,689.70, 38,211.29 and 15,752.78 is: 21,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.70 : 38,211.29 = 15,752.78 : x
  2. Step 2: Convert to fraction form
    27,689.70/38,211.29 = 15,752.78/x
  3. Step 3: Cross multiply
    27,689.70x = 38,211.29 × 15,752.78
  4. Step 4: Simplify right side
    27,689.70x = 601,934,066.04
  5. Step 5: Solve for x
    x = 601,934,066.04/27,689.70
  6. Step 6: Final answer
    x = 21,738.56

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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.