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Finding the Fourth Proportional to 12,229.85, 18,346.14 and 3,907.91

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Solution

The fourth proportional to 12,229.85, 18,346.14 and 3,907.91 is: 5,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.85 : 18,346.14 = 3,907.91 : x
  2. Step 2: Convert to fraction form
    12,229.85/18,346.14 = 3,907.91/x
  3. Step 3: Cross multiply
    12,229.85x = 18,346.14 × 3,907.91
  4. Step 4: Simplify right side
    12,229.85x = 71,695,109.83
  5. Step 5: Solve for x
    x = 71,695,109.83/12,229.85
  6. Step 6: Final answer
    x = 5,862.30

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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.