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Finding the Fourth Proportional to 24,219.74, 36,338.93 and 9,439.13

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Solution

The fourth proportional to 24,219.74, 36,338.93 and 9,439.13 is: 14,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.74 : 36,338.93 = 9,439.13 : x
  2. Step 2: Convert to fraction form
    24,219.74/36,338.93 = 9,439.13/x
  3. Step 3: Cross multiply
    24,219.74x = 36,338.93 × 9,439.13
  4. Step 4: Simplify right side
    24,219.74x = 343,007,884.33
  5. Step 5: Solve for x
    x = 343,007,884.33/24,219.74
  6. Step 6: Final answer
    x = 14,162.33

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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.