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Finding the Fourth Proportional to 16,515.42, 22,791.28 and 9,442

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Solution

The fourth proportional to 16,515.42, 22,791.28 and 9,442 is: 13,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.42 : 22,791.28 = 9,442 : x
  2. Step 2: Convert to fraction form
    16,515.42/22,791.28 = 9,442/x
  3. Step 3: Cross multiply
    16,515.42x = 22,791.28 × 9,442
  4. Step 4: Simplify right side
    16,515.42x = 215,195,265.76
  5. Step 5: Solve for x
    x = 215,195,265.76/16,515.42
  6. Step 6: Final answer
    x = 13,029.96

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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.