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Finding the Fourth Proportional to 12,278.68, 18,436.78 and 11,773.24

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Solution

The fourth proportional to 12,278.68, 18,436.78 and 11,773.24 is: 17,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.68 : 18,436.78 = 11,773.24 : x
  2. Step 2: Convert to fraction form
    12,278.68/18,436.78 = 11,773.24/x
  3. Step 3: Cross multiply
    12,278.68x = 18,436.78 × 11,773.24
  4. Step 4: Simplify right side
    12,278.68x = 217,060,635.77
  5. Step 5: Solve for x
    x = 217,060,635.77/12,278.68
  6. Step 6: Final answer
    x = 17,677.85

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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.