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Finding the Fourth Proportional to 24,553.72, 36,833.34 and 7,909.96

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Solution

The fourth proportional to 24,553.72, 36,833.34 and 7,909.96 is: 11,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.72 : 36,833.34 = 7,909.96 : x
  2. Step 2: Convert to fraction form
    24,553.72/36,833.34 = 7,909.96/x
  3. Step 3: Cross multiply
    24,553.72x = 36,833.34 × 7,909.96
  4. Step 4: Simplify right side
    24,553.72x = 291,350,246.07
  5. Step 5: Solve for x
    x = 291,350,246.07/24,553.72
  6. Step 6: Final answer
    x = 11,865.83

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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.