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Finding the Fourth Proportional to 12,243.16, 18,364.74 and 8,082.20

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Solution

The fourth proportional to 12,243.16, 18,364.74 and 8,082.20 is: 12,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.16 : 18,364.74 = 8,082.20 : x
  2. Step 2: Convert to fraction form
    12,243.16/18,364.74 = 8,082.20/x
  3. Step 3: Cross multiply
    12,243.16x = 18,364.74 × 8,082.20
  4. Step 4: Simplify right side
    12,243.16x = 148,427,459.39
  5. Step 5: Solve for x
    x = 148,427,459.39/12,243.16
  6. Step 6: Final answer
    x = 12,123.29

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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.