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Finding the Fourth Proportional to 12,532.61, 17,295.17 and 8,057.83

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Solution

The fourth proportional to 12,532.61, 17,295.17 and 8,057.83 is: 11,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.61 : 17,295.17 = 8,057.83 : x
  2. Step 2: Convert to fraction form
    12,532.61/17,295.17 = 8,057.83/x
  3. Step 3: Cross multiply
    12,532.61x = 17,295.17 × 8,057.83
  4. Step 4: Simplify right side
    12,532.61x = 139,361,539.68
  5. Step 5: Solve for x
    x = 139,361,539.68/12,532.61
  6. Step 6: Final answer
    x = 11,119.91

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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.