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Finding the Fourth Proportional to 23,387.97, 32,276.10 and 12,778.29

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Solution

The fourth proportional to 23,387.97, 32,276.10 and 12,778.29 is: 17,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.97 : 32,276.10 = 12,778.29 : x
  2. Step 2: Convert to fraction form
    23,387.97/32,276.10 = 12,778.29/x
  3. Step 3: Cross multiply
    23,387.97x = 32,276.10 × 12,778.29
  4. Step 4: Simplify right side
    23,387.97x = 412,433,365.87
  5. Step 5: Solve for x
    x = 412,433,365.87/23,387.97
  6. Step 6: Final answer
    x = 17,634.42

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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.