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Finding the Fourth Proportional to 12,532.41, 17,286.33 and 8,061.78

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Solution

The fourth proportional to 12,532.41, 17,286.33 and 8,061.78 is: 11,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.41 : 17,286.33 = 8,061.78 : x
  2. Step 2: Convert to fraction form
    12,532.41/17,286.33 = 8,061.78/x
  3. Step 3: Cross multiply
    12,532.41x = 17,286.33 × 8,061.78
  4. Step 4: Simplify right side
    12,532.41x = 139,358,589.47
  5. Step 5: Solve for x
    x = 139,358,589.47/12,532.41
  6. Step 6: Final answer
    x = 11,119.86

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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.