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Finding the Fourth Proportional to 24,814.65, 37,211.20 and 9,014.43

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Solution

The fourth proportional to 24,814.65, 37,211.20 and 9,014.43 is: 13,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.65 : 37,211.20 = 9,014.43 : x
  2. Step 2: Convert to fraction form
    24,814.65/37,211.20 = 9,014.43/x
  3. Step 3: Cross multiply
    24,814.65x = 37,211.20 × 9,014.43
  4. Step 4: Simplify right side
    24,814.65x = 335,437,735.08
  5. Step 5: Solve for x
    x = 335,437,735.08/24,814.65
  6. Step 6: Final answer
    x = 13,517.73

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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.