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Finding the Fourth Proportional to 27,691.74, 38,214.72 and 15,116.76

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Solution

The fourth proportional to 27,691.74, 38,214.72 and 15,116.76 is: 20,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.74 : 38,214.72 = 15,116.76 : x
  2. Step 2: Convert to fraction form
    27,691.74/38,214.72 = 15,116.76/x
  3. Step 3: Cross multiply
    27,691.74x = 38,214.72 × 15,116.76
  4. Step 4: Simplify right side
    27,691.74x = 577,682,750.71
  5. Step 5: Solve for x
    x = 577,682,750.71/27,691.74
  6. Step 6: Final answer
    x = 20,861.19

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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.