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Finding the Fourth Proportional to 24,834.80, 34,238.49 and 16,863.20

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Solution

The fourth proportional to 24,834.80, 34,238.49 and 16,863.20 is: 23,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834.80 : 34,238.49 = 16,863.20 : x
  2. Step 2: Convert to fraction form
    24,834.80/34,238.49 = 16,863.20/x
  3. Step 3: Cross multiply
    24,834.80x = 34,238.49 × 16,863.20
  4. Step 4: Simplify right side
    24,834.80x = 577,370,504.57
  5. Step 5: Solve for x
    x = 577,370,504.57/24,834.80
  6. Step 6: Final answer
    x = 23,248.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.