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Finding the Fourth Proportional to 24,393.24, 36,589.90 and 6,863.09

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Solution

The fourth proportional to 24,393.24, 36,589.90 and 6,863.09 is: 10,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.24 : 36,589.90 = 6,863.09 : x
  2. Step 2: Convert to fraction form
    24,393.24/36,589.90 = 6,863.09/x
  3. Step 3: Cross multiply
    24,393.24x = 36,589.90 × 6,863.09
  4. Step 4: Simplify right side
    24,393.24x = 251,119,776.79
  5. Step 5: Solve for x
    x = 251,119,776.79/24,393.24
  6. Step 6: Final answer
    x = 10,294.65

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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.