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Finding the Fourth Proportional to 27,691.83, 38,214.22 and 15,754.90

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Solution

The fourth proportional to 27,691.83, 38,214.22 and 15,754.90 is: 21,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.83 : 38,214.22 = 15,754.90 : x
  2. Step 2: Convert to fraction form
    27,691.83/38,214.22 = 15,754.90/x
  3. Step 3: Cross multiply
    27,691.83x = 38,214.22 × 15,754.90
  4. Step 4: Simplify right side
    27,691.83x = 602,061,214.68
  5. Step 5: Solve for x
    x = 602,061,214.68/27,691.83
  6. Step 6: Final answer
    x = 21,741.47

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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.