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Finding the Fourth Proportional to 13,661.25, 20,469.23 and 8,308.24

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Solution

The fourth proportional to 13,661.25, 20,469.23 and 8,308.24 is: 12,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.25 : 20,469.23 = 8,308.24 : x
  2. Step 2: Convert to fraction form
    13,661.25/20,469.23 = 8,308.24/x
  3. Step 3: Cross multiply
    13,661.25x = 20,469.23 × 8,308.24
  4. Step 4: Simplify right side
    13,661.25x = 170,063,275.46
  5. Step 5: Solve for x
    x = 170,063,275.46/13,661.25
  6. Step 6: Final answer
    x = 12,448.59

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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.