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Finding the Fourth Proportional to 24,387.59, 36,581.40 and 6,857.42

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Solution

The fourth proportional to 24,387.59, 36,581.40 and 6,857.42 is: 10,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.59 : 36,581.40 = 6,857.42 : x
  2. Step 2: Convert to fraction form
    24,387.59/36,581.40 = 6,857.42/x
  3. Step 3: Cross multiply
    24,387.59x = 36,581.40 × 6,857.42
  4. Step 4: Simplify right side
    24,387.59x = 250,853,896.81
  5. Step 5: Solve for x
    x = 250,853,896.81/24,387.59
  6. Step 6: Final answer
    x = 10,286.13

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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.