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Finding the Fourth Proportional to 24,698.25, 34,084.13 and 13,520.25

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Solution

The fourth proportional to 24,698.25, 34,084.13 and 13,520.25 is: 18,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.25 : 34,084.13 = 13,520.25 : x
  2. Step 2: Convert to fraction form
    24,698.25/34,084.13 = 13,520.25/x
  3. Step 3: Cross multiply
    24,698.25x = 34,084.13 × 13,520.25
  4. Step 4: Simplify right side
    24,698.25x = 460,825,891.03
  5. Step 5: Solve for x
    x = 460,825,891.03/24,698.25
  6. Step 6: Final answer
    x = 18,658.24

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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.