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Finding the Fourth Proportional to 27,884.17, 38,478.81 and 15,948.82

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Solution

The fourth proportional to 27,884.17, 38,478.81 and 15,948.82 is: 22,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.17 : 38,478.81 = 15,948.82 : x
  2. Step 2: Convert to fraction form
    27,884.17/38,478.81 = 15,948.82/x
  3. Step 3: Cross multiply
    27,884.17x = 38,478.81 × 15,948.82
  4. Step 4: Simplify right side
    27,884.17x = 613,691,614.50
  5. Step 5: Solve for x
    x = 613,691,614.50/27,884.17
  6. Step 6: Final answer
    x = 22,008.60

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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.