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Finding the Fourth Proportional to 24,175.74, 33,363.10 and 13,566.16

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Solution

The fourth proportional to 24,175.74, 33,363.10 and 13,566.16 is: 18,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.74 : 33,363.10 = 13,566.16 : x
  2. Step 2: Convert to fraction form
    24,175.74/33,363.10 = 13,566.16/x
  3. Step 3: Cross multiply
    24,175.74x = 33,363.10 × 13,566.16
  4. Step 4: Simplify right side
    24,175.74x = 452,609,152.70
  5. Step 5: Solve for x
    x = 452,609,152.70/24,175.74
  6. Step 6: Final answer
    x = 18,721.63

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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.