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Finding the Fourth Proportional to 24,381.17, 36,568.01 and 7,739.04

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Solution

The fourth proportional to 24,381.17, 36,568.01 and 7,739.04 is: 11,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.17 : 36,568.01 = 7,739.04 : x
  2. Step 2: Convert to fraction form
    24,381.17/36,568.01 = 7,739.04/x
  3. Step 3: Cross multiply
    24,381.17x = 36,568.01 × 7,739.04
  4. Step 4: Simplify right side
    24,381.17x = 283,001,253.42
  5. Step 5: Solve for x
    x = 283,001,253.42/24,381.17
  6. Step 6: Final answer
    x = 11,607.37

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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.