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Finding the Fourth Proportional to 12,401.16, 18,604.43 and 4,082.02

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Solution

The fourth proportional to 12,401.16, 18,604.43 and 4,082.02 is: 6,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.16 : 18,604.43 = 4,082.02 : x
  2. Step 2: Convert to fraction form
    12,401.16/18,604.43 = 4,082.02/x
  3. Step 3: Cross multiply
    12,401.16x = 18,604.43 × 4,082.02
  4. Step 4: Simplify right side
    12,401.16x = 75,943,603.74
  5. Step 5: Solve for x
    x = 75,943,603.74/12,401.16
  6. Step 6: Final answer
    x = 6,123.91

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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.