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Finding the Fourth Proportional to 12,123.96, 18,170.82 and 4,324.20

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Solution

The fourth proportional to 12,123.96, 18,170.82 and 4,324.20 is: 6,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.96 : 18,170.82 = 4,324.20 : x
  2. Step 2: Convert to fraction form
    12,123.96/18,170.82 = 4,324.20/x
  3. Step 3: Cross multiply
    12,123.96x = 18,170.82 × 4,324.20
  4. Step 4: Simplify right side
    12,123.96x = 78,574,259.84
  5. Step 5: Solve for x
    x = 78,574,259.84/12,123.96
  6. Step 6: Final answer
    x = 6,480.91

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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.