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Finding the Fourth Proportional to 12,156.87, 18,229.06 and 5,577.38

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Solution

The fourth proportional to 12,156.87, 18,229.06 and 5,577.38 is: 8,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.87 : 18,229.06 = 5,577.38 : x
  2. Step 2: Convert to fraction form
    12,156.87/18,229.06 = 5,577.38/x
  3. Step 3: Cross multiply
    12,156.87x = 18,229.06 × 5,577.38
  4. Step 4: Simplify right side
    12,156.87x = 101,670,394.66
  5. Step 5: Solve for x
    x = 101,670,394.66/12,156.87
  6. Step 6: Final answer
    x = 8,363.20

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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.