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Finding the Fourth Proportional to 24,809.25, 34,238.93 and 13,633.41

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Solution

The fourth proportional to 24,809.25, 34,238.93 and 13,633.41 is: 18,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.25 : 34,238.93 = 13,633.41 : x
  2. Step 2: Convert to fraction form
    24,809.25/34,238.93 = 13,633.41/x
  3. Step 3: Cross multiply
    24,809.25x = 34,238.93 × 13,633.41
  4. Step 4: Simplify right side
    24,809.25x = 466,793,370.65
  5. Step 5: Solve for x
    x = 466,793,370.65/24,809.25
  6. Step 6: Final answer
    x = 18,815.30

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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.