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Finding the Fourth Proportional to 12,229.44, 18,349.28 and 6,075.20

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Solution

The fourth proportional to 12,229.44, 18,349.28 and 6,075.20 is: 9,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.44 : 18,349.28 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    12,229.44/18,349.28 = 6,075.20/x
  3. Step 3: Cross multiply
    12,229.44x = 18,349.28 × 6,075.20
  4. Step 4: Simplify right side
    12,229.44x = 111,475,545.86
  5. Step 5: Solve for x
    x = 111,475,545.86/12,229.44
  6. Step 6: Final answer
    x = 9,115.34

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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.