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Finding the Fourth Proportional to 22,205.72, 30,644.57 and 12,134.79

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Solution

The fourth proportional to 22,205.72, 30,644.57 and 12,134.79 is: 16,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.72 : 30,644.57 = 12,134.79 : x
  2. Step 2: Convert to fraction form
    22,205.72/30,644.57 = 12,134.79/x
  3. Step 3: Cross multiply
    22,205.72x = 30,644.57 × 12,134.79
  4. Step 4: Simplify right side
    22,205.72x = 371,865,451.93
  5. Step 5: Solve for x
    x = 371,865,451.93/22,205.72
  6. Step 6: Final answer
    x = 16,746.38

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Why These Related Problems?

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