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Finding the Fourth Proportional to 24,472.32, 33,770.72 and 13,861.74

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Solution

The fourth proportional to 24,472.32, 33,770.72 and 13,861.74 is: 19,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.32 : 33,770.72 = 13,861.74 : x
  2. Step 2: Convert to fraction form
    24,472.32/33,770.72 = 13,861.74/x
  3. Step 3: Cross multiply
    24,472.32x = 33,770.72 × 13,861.74
  4. Step 4: Simplify right side
    24,472.32x = 468,120,940.25
  5. Step 5: Solve for x
    x = 468,120,940.25/24,472.32
  6. Step 6: Final answer
    x = 19,128.59

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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.