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Finding the Fourth Proportional to 24,752.25, 37,131.46 and 8,113.97

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Solution

The fourth proportional to 24,752.25, 37,131.46 and 8,113.97 is: 12,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752.25 : 37,131.46 = 8,113.97 : x
  2. Step 2: Convert to fraction form
    24,752.25/37,131.46 = 8,113.97/x
  3. Step 3: Cross multiply
    24,752.25x = 37,131.46 × 8,113.97
  4. Step 4: Simplify right side
    24,752.25x = 301,283,625.04
  5. Step 5: Solve for x
    x = 301,283,625.04/24,752.25
  6. Step 6: Final answer
    x = 12,171.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.