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Finding the Fourth Proportional to 22,286.10, 30,754.68 and 12,215.16

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Solution

The fourth proportional to 22,286.10, 30,754.68 and 12,215.16 is: 16,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.10 : 30,754.68 = 12,215.16 : x
  2. Step 2: Convert to fraction form
    22,286.10/30,754.68 = 12,215.16/x
  3. Step 3: Cross multiply
    22,286.10x = 30,754.68 × 12,215.16
  4. Step 4: Simplify right side
    22,286.10x = 375,673,336.95
  5. Step 5: Solve for x
    x = 375,673,336.95/22,286.10
  6. Step 6: Final answer
    x = 16,856.85

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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.