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Finding the Fourth Proportional to 24,452.70, 33,744.87 and 14,381.57

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Solution

The fourth proportional to 24,452.70, 33,744.87 and 14,381.57 is: 19,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.70 : 33,744.87 = 14,381.57 : x
  2. Step 2: Convert to fraction form
    24,452.70/33,744.87 = 14,381.57/x
  3. Step 3: Cross multiply
    24,452.70x = 33,744.87 × 14,381.57
  4. Step 4: Simplify right side
    24,452.70x = 485,304,041.32
  5. Step 5: Solve for x
    x = 485,304,041.32/24,452.70
  6. Step 6: Final answer
    x = 19,846.64

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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.