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Finding the Fourth Proportional to 12,278.70, 18,381.60 and 8,123.40

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Solution

The fourth proportional to 12,278.70, 18,381.60 and 8,123.40 is: 12,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.70 : 18,381.60 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    12,278.70/18,381.60 = 8,123.40/x
  3. Step 3: Cross multiply
    12,278.70x = 18,381.60 × 8,123.40
  4. Step 4: Simplify right side
    12,278.70x = 149,321,089.44
  5. Step 5: Solve for x
    x = 149,321,089.44/12,278.70
  6. Step 6: Final answer
    x = 12,160.99

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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.