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Finding the Fourth Proportional to 24,505.72, 36,770.73 and 9,714.31

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Solution

The fourth proportional to 24,505.72, 36,770.73 and 9,714.31 is: 14,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.72 : 36,770.73 = 9,714.31 : x
  2. Step 2: Convert to fraction form
    24,505.72/36,770.73 = 9,714.31/x
  3. Step 3: Cross multiply
    24,505.72x = 36,770.73 × 9,714.31
  4. Step 4: Simplify right side
    24,505.72x = 357,202,270.15
  5. Step 5: Solve for x
    x = 357,202,270.15/24,505.72
  6. Step 6: Final answer
    x = 14,576.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.