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Finding the Fourth Proportional to 24,757.44, 37,113.67 and 9,164.13

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Solution

The fourth proportional to 24,757.44, 37,113.67 and 9,164.13 is: 13,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.44 : 37,113.67 = 9,164.13 : x
  2. Step 2: Convert to fraction form
    24,757.44/37,113.67 = 9,164.13/x
  3. Step 3: Cross multiply
    24,757.44x = 37,113.67 × 9,164.13
  4. Step 4: Simplify right side
    24,757.44x = 340,114,496.66
  5. Step 5: Solve for x
    x = 340,114,496.66/24,757.44
  6. Step 6: Final answer
    x = 13,737.87

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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.