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Finding the Fourth Proportional to 12,757.41, 17,600.19 and 7,378.86

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Solution

The fourth proportional to 12,757.41, 17,600.19 and 7,378.86 is: 10,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.41 : 17,600.19 = 7,378.86 : x
  2. Step 2: Convert to fraction form
    12,757.41/17,600.19 = 7,378.86/x
  3. Step 3: Cross multiply
    12,757.41x = 17,600.19 × 7,378.86
  4. Step 4: Simplify right side
    12,757.41x = 129,869,337.98
  5. Step 5: Solve for x
    x = 129,869,337.98/12,757.41
  6. Step 6: Final answer
    x = 10,179.91

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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.