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Finding the Fourth Proportional to 12,142.50, 16,747.92 and 8,564.82

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Solution

The fourth proportional to 12,142.50, 16,747.92 and 8,564.82 is: 11,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.50 : 16,747.92 = 8,564.82 : x
  2. Step 2: Convert to fraction form
    12,142.50/16,747.92 = 8,564.82/x
  3. Step 3: Cross multiply
    12,142.50x = 16,747.92 × 8,564.82
  4. Step 4: Simplify right side
    12,142.50x = 143,442,920.17
  5. Step 5: Solve for x
    x = 143,442,920.17/12,142.50
  6. Step 6: Final answer
    x = 11,813.29

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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.