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Finding the Fourth Proportional to 24,175.98, 33,365.25 and 16,234.74

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Solution

The fourth proportional to 24,175.98, 33,365.25 and 16,234.74 is: 22,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.98 : 33,365.25 = 16,234.74 : x
  2. Step 2: Convert to fraction form
    24,175.98/33,365.25 = 16,234.74/x
  3. Step 3: Cross multiply
    24,175.98x = 33,365.25 × 16,234.74
  4. Step 4: Simplify right side
    24,175.98x = 541,676,158.79
  5. Step 5: Solve for x
    x = 541,676,158.79/24,175.98
  6. Step 6: Final answer
    x = 22,405.55

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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.