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Finding the Fourth Proportional to 12,542.86, 17,311.35 and 8,562.52

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Solution

The fourth proportional to 12,542.86, 17,311.35 and 8,562.52 is: 11,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.86 : 17,311.35 = 8,562.52 : x
  2. Step 2: Convert to fraction form
    12,542.86/17,311.35 = 8,562.52/x
  3. Step 3: Cross multiply
    12,542.86x = 17,311.35 × 8,562.52
  4. Step 4: Simplify right side
    12,542.86x = 148,228,780.60
  5. Step 5: Solve for x
    x = 148,228,780.60/12,542.86
  6. Step 6: Final answer
    x = 11,817.78

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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.