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Finding the Fourth Proportional to 12,711.14, 17,542.53 and 7,677.86

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Solution

The fourth proportional to 12,711.14, 17,542.53 and 7,677.86 is: 10,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.14 : 17,542.53 = 7,677.86 : x
  2. Step 2: Convert to fraction form
    12,711.14/17,542.53 = 7,677.86/x
  3. Step 3: Cross multiply
    12,711.14x = 17,542.53 × 7,677.86
  4. Step 4: Simplify right side
    12,711.14x = 134,689,089.39
  5. Step 5: Solve for x
    x = 134,689,089.39/12,711.14
  6. Step 6: Final answer
    x = 10,596.15

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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.