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Finding the Fourth Proportional to 24,432.80, 36,648.53 and 7,793.83

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Solution

The fourth proportional to 24,432.80, 36,648.53 and 7,793.83 is: 11,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432.80 : 36,648.53 = 7,793.83 : x
  2. Step 2: Convert to fraction form
    24,432.80/36,648.53 = 7,793.83/x
  3. Step 3: Cross multiply
    24,432.80x = 36,648.53 × 7,793.83
  4. Step 4: Simplify right side
    24,432.80x = 285,632,190.36
  5. Step 5: Solve for x
    x = 285,632,190.36/24,432.80
  6. Step 6: Final answer
    x = 11,690.52

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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.