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Finding the Fourth Proportional to 24,744.64, 34,149 and 14,679.04

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Solution

The fourth proportional to 24,744.64, 34,149 and 14,679.04 is: 20,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.64 : 34,149 = 14,679.04 : x
  2. Step 2: Convert to fraction form
    24,744.64/34,149 = 14,679.04/x
  3. Step 3: Cross multiply
    24,744.64x = 34,149 × 14,679.04
  4. Step 4: Simplify right side
    24,744.64x = 501,274,536.96
  5. Step 5: Solve for x
    x = 501,274,536.96/24,744.64
  6. Step 6: Final answer
    x = 20,257.90

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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.