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Finding the Fourth Proportional to 16,166.56, 22,304.64 and 9,791.12

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Solution

The fourth proportional to 16,166.56, 22,304.64 and 9,791.12 is: 13,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.56 : 22,304.64 = 9,791.12 : x
  2. Step 2: Convert to fraction form
    16,166.56/22,304.64 = 9,791.12/x
  3. Step 3: Cross multiply
    16,166.56x = 22,304.64 × 9,791.12
  4. Step 4: Simplify right side
    16,166.56x = 218,387,406.80
  5. Step 5: Solve for x
    x = 218,387,406.80/16,166.56
  6. Step 6: Final answer
    x = 13,508.59

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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.