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Finding the Fourth Proportional to 24,377.31, 33,644.27 and 14,311.30

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Solution

The fourth proportional to 24,377.31, 33,644.27 and 14,311.30 is: 19,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.31 : 33,644.27 = 14,311.30 : x
  2. Step 2: Convert to fraction form
    24,377.31/33,644.27 = 14,311.30/x
  3. Step 3: Cross multiply
    24,377.31x = 33,644.27 × 14,311.30
  4. Step 4: Simplify right side
    24,377.31x = 481,493,276.13
  5. Step 5: Solve for x
    x = 481,493,276.13/24,377.31
  6. Step 6: Final answer
    x = 19,751.70

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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.