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Finding the Fourth Proportional to 24,269.40, 36,404.10 and 9,478.80

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Solution

The fourth proportional to 24,269.40, 36,404.10 and 9,478.80 is: 14,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.40 : 36,404.10 = 9,478.80 : x
  2. Step 2: Convert to fraction form
    24,269.40/36,404.10 = 9,478.80/x
  3. Step 3: Cross multiply
    24,269.40x = 36,404.10 × 9,478.80
  4. Step 4: Simplify right side
    24,269.40x = 345,067,183.08
  5. Step 5: Solve for x
    x = 345,067,183.08/24,269.40
  6. Step 6: Final answer
    x = 14,218.20

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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.