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Finding the Fourth Proportional to 24,381.29, 36,568.20 and 7,739.15

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Solution

The fourth proportional to 24,381.29, 36,568.20 and 7,739.15 is: 11,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.29 : 36,568.20 = 7,739.15 : x
  2. Step 2: Convert to fraction form
    24,381.29/36,568.20 = 7,739.15/x
  3. Step 3: Cross multiply
    24,381.29x = 36,568.20 × 7,739.15
  4. Step 4: Simplify right side
    24,381.29x = 283,006,785.03
  5. Step 5: Solve for x
    x = 283,006,785.03/24,381.29
  6. Step 6: Final answer
    x = 11,607.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.