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Finding the Fourth Proportional to 24,504.31, 36,757.01 and 6,974.70

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Solution

The fourth proportional to 24,504.31, 36,757.01 and 6,974.70 is: 10,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.31 : 36,757.01 = 6,974.70 : x
  2. Step 2: Convert to fraction form
    24,504.31/36,757.01 = 6,974.70/x
  3. Step 3: Cross multiply
    24,504.31x = 36,757.01 × 6,974.70
  4. Step 4: Simplify right side
    24,504.31x = 256,368,898.99
  5. Step 5: Solve for x
    x = 256,368,898.99/24,504.31
  6. Step 6: Final answer
    x = 10,462.20

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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.