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Finding the Fourth Proportional to 24,757.76, 37,136.82 and 11,624.96

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Solution

The fourth proportional to 24,757.76, 37,136.82 and 11,624.96 is: 17,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.76 : 37,136.82 = 11,624.96 : x
  2. Step 2: Convert to fraction form
    24,757.76/37,136.82 = 11,624.96/x
  3. Step 3: Cross multiply
    24,757.76x = 37,136.82 × 11,624.96
  4. Step 4: Simplify right side
    24,757.76x = 431,714,047.03
  5. Step 5: Solve for x
    x = 431,714,047.03/24,757.76
  6. Step 6: Final answer
    x = 17,437.52

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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.