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Finding the Fourth Proportional to 12,343.90, 18,517.45 and 6,107.10

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Solution

The fourth proportional to 12,343.90, 18,517.45 and 6,107.10 is: 9,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.90 : 18,517.45 = 6,107.10 : x
  2. Step 2: Convert to fraction form
    12,343.90/18,517.45 = 6,107.10/x
  3. Step 3: Cross multiply
    12,343.90x = 18,517.45 × 6,107.10
  4. Step 4: Simplify right side
    12,343.90x = 113,087,918.90
  5. Step 5: Solve for x
    x = 113,087,918.90/12,343.90
  6. Step 6: Final answer
    x = 9,161.44

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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.