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Finding the Fourth Proportional to 22,082.74, 30,474.58 and 12,011.41

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Solution

The fourth proportional to 22,082.74, 30,474.58 and 12,011.41 is: 16,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.74 : 30,474.58 = 12,011.41 : x
  2. Step 2: Convert to fraction form
    22,082.74/30,474.58 = 12,011.41/x
  3. Step 3: Cross multiply
    22,082.74x = 30,474.58 × 12,011.41
  4. Step 4: Simplify right side
    22,082.74x = 366,042,674.96
  5. Step 5: Solve for x
    x = 366,042,674.96/22,082.74
  6. Step 6: Final answer
    x = 16,575.96

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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.