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Finding the Fourth Proportional to 12,348.90, 18,511.20 and 6,103.80

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Solution

The fourth proportional to 12,348.90, 18,511.20 and 6,103.80 is: 9,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.90 : 18,511.20 = 6,103.80 : x
  2. Step 2: Convert to fraction form
    12,348.90/18,511.20 = 6,103.80/x
  3. Step 3: Cross multiply
    12,348.90x = 18,511.20 × 6,103.80
  4. Step 4: Simplify right side
    12,348.90x = 112,988,662.56
  5. Step 5: Solve for x
    x = 112,988,662.56/12,348.90
  6. Step 6: Final answer
    x = 9,149.69

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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.