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Finding the Fourth Proportional to 24,175.44, 33,363.48 and 13,566

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Solution

The fourth proportional to 24,175.44, 33,363.48 and 13,566 is: 18,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.44 : 33,363.48 = 13,566 : x
  2. Step 2: Convert to fraction form
    24,175.44/33,363.48 = 13,566/x
  3. Step 3: Cross multiply
    24,175.44x = 33,363.48 × 13,566
  4. Step 4: Simplify right side
    24,175.44x = 452,608,969.68
  5. Step 5: Solve for x
    x = 452,608,969.68/24,175.44
  6. Step 6: Final answer
    x = 18,721.85

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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.