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Finding the Fourth Proportional to 23,489.30, 32,414.99 and 12,878.91

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Solution

The fourth proportional to 23,489.30, 32,414.99 and 12,878.91 is: 17,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.30 : 32,414.99 = 12,878.91 : x
  2. Step 2: Convert to fraction form
    23,489.30/32,414.99 = 12,878.91/x
  3. Step 3: Cross multiply
    23,489.30x = 32,414.99 × 12,878.91
  4. Step 4: Simplify right side
    23,489.30x = 417,469,674.47
  5. Step 5: Solve for x
    x = 417,469,674.47/23,489.30
  6. Step 6: Final answer
    x = 17,772.76

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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.