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Finding the Fourth Proportional to 24,480.33, 36,723.14 and 7,834.43

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Solution

The fourth proportional to 24,480.33, 36,723.14 and 7,834.43 is: 11,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480.33 : 36,723.14 = 7,834.43 : x
  2. Step 2: Convert to fraction form
    24,480.33/36,723.14 = 7,834.43/x
  3. Step 3: Cross multiply
    24,480.33x = 36,723.14 × 7,834.43
  4. Step 4: Simplify right side
    24,480.33x = 287,704,646.92
  5. Step 5: Solve for x
    x = 287,704,646.92/24,480.33
  6. Step 6: Final answer
    x = 11,752.48

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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.