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Finding the Fourth Proportional to 12,342.88, 18,517.05 and 5,765.47

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Solution

The fourth proportional to 12,342.88, 18,517.05 and 5,765.47 is: 8,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.88 : 18,517.05 = 5,765.47 : x
  2. Step 2: Convert to fraction form
    12,342.88/18,517.05 = 5,765.47/x
  3. Step 3: Cross multiply
    12,342.88x = 18,517.05 × 5,765.47
  4. Step 4: Simplify right side
    12,342.88x = 106,759,496.26
  5. Step 5: Solve for x
    x = 106,759,496.26/12,342.88
  6. Step 6: Final answer
    x = 8,649.48

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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.