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Finding the Fourth Proportional to 23,488.92, 32,414.48 and 12,878.53

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Solution

The fourth proportional to 23,488.92, 32,414.48 and 12,878.53 is: 17,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.92 : 32,414.48 = 12,878.53 : x
  2. Step 2: Convert to fraction form
    23,488.92/32,414.48 = 12,878.53/x
  3. Step 3: Cross multiply
    23,488.92x = 32,414.48 × 12,878.53
  4. Step 4: Simplify right side
    23,488.92x = 417,450,755.98
  5. Step 5: Solve for x
    x = 417,450,755.98/23,488.92
  6. Step 6: Final answer
    x = 17,772.24

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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.