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Finding the Fourth Proportional to 22,377.25, 30,878.58 and 12,306.12

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Solution

The fourth proportional to 22,377.25, 30,878.58 and 12,306.12 is: 16,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.25 : 30,878.58 = 12,306.12 : x
  2. Step 2: Convert to fraction form
    22,377.25/30,878.58 = 12,306.12/x
  3. Step 3: Cross multiply
    22,377.25x = 30,878.58 × 12,306.12
  4. Step 4: Simplify right side
    22,377.25x = 379,995,510.91
  5. Step 5: Solve for x
    x = 379,995,510.91/22,377.25
  6. Step 6: Final answer
    x = 16,981.33

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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.