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Finding the Fourth Proportional to 24,493.91, 36,757.24 and 8,911.53

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Solution

The fourth proportional to 24,493.91, 36,757.24 and 8,911.53 is: 13,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.91 : 36,757.24 = 8,911.53 : x
  2. Step 2: Convert to fraction form
    24,493.91/36,757.24 = 8,911.53/x
  3. Step 3: Cross multiply
    24,493.91x = 36,757.24 × 8,911.53
  4. Step 4: Simplify right side
    24,493.91x = 327,563,246.98
  5. Step 5: Solve for x
    x = 327,563,246.98/24,493.91
  6. Step 6: Final answer
    x = 13,373.26

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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.