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Finding the Fourth Proportional to 13,645.97, 18,825.31 and 8,339.80

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Solution

The fourth proportional to 13,645.97, 18,825.31 and 8,339.80 is: 11,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.97 : 18,825.31 = 8,339.80 : x
  2. Step 2: Convert to fraction form
    13,645.97/18,825.31 = 8,339.80/x
  3. Step 3: Cross multiply
    13,645.97x = 18,825.31 × 8,339.80
  4. Step 4: Simplify right side
    13,645.97x = 156,999,320.34
  5. Step 5: Solve for x
    x = 156,999,320.34/13,645.97
  6. Step 6: Final answer
    x = 11,505.18

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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.