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Finding the Fourth Proportional to 22,082.50, 30,474.33 and 12,146.50

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Solution

The fourth proportional to 22,082.50, 30,474.33 and 12,146.50 is: 16,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.50 : 30,474.33 = 12,146.50 : x
  2. Step 2: Convert to fraction form
    22,082.50/30,474.33 = 12,146.50/x
  3. Step 3: Cross multiply
    22,082.50x = 30,474.33 × 12,146.50
  4. Step 4: Simplify right side
    22,082.50x = 370,156,449.35
  5. Step 5: Solve for x
    x = 370,156,449.35/22,082.50
  6. Step 6: Final answer
    x = 16,762.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.