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Finding the Fourth Proportional to 12,340.98, 18,517.52 and 5,767.63

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Solution

The fourth proportional to 12,340.98, 18,517.52 and 5,767.63 is: 8,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.98 : 18,517.52 = 5,767.63 : x
  2. Step 2: Convert to fraction form
    12,340.98/18,517.52 = 5,767.63/x
  3. Step 3: Cross multiply
    12,340.98x = 18,517.52 × 5,767.63
  4. Step 4: Simplify right side
    12,340.98x = 106,802,203.88
  5. Step 5: Solve for x
    x = 106,802,203.88/12,340.98
  6. Step 6: Final answer
    x = 8,654.27

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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.