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Finding the Fourth Proportional to 24,109.20, 36,169.20 and 9,316.80

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Solution

The fourth proportional to 24,109.20, 36,169.20 and 9,316.80 is: 13,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.20 : 36,169.20 = 9,316.80 : x
  2. Step 2: Convert to fraction form
    24,109.20/36,169.20 = 9,316.80/x
  3. Step 3: Cross multiply
    24,109.20x = 36,169.20 × 9,316.80
  4. Step 4: Simplify right side
    24,109.20x = 336,981,202.56
  5. Step 5: Solve for x
    x = 336,981,202.56/24,109.20
  6. Step 6: Final answer
    x = 13,977.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.