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Finding the Fourth Proportional to 22,238.34, 30,689.73 and 12,166.17

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Solution

The fourth proportional to 22,238.34, 30,689.73 and 12,166.17 is: 16,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.34 : 30,689.73 = 12,166.17 : x
  2. Step 2: Convert to fraction form
    22,238.34/30,689.73 = 12,166.17/x
  3. Step 3: Cross multiply
    22,238.34x = 30,689.73 × 12,166.17
  4. Step 4: Simplify right side
    22,238.34x = 373,376,472.43
  5. Step 5: Solve for x
    x = 373,376,472.43/22,238.34
  6. Step 6: Final answer
    x = 16,789.76

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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.