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Finding the Fourth Proportional to 22,375.14, 30,878.06 and 12,304

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Solution

The fourth proportional to 22,375.14, 30,878.06 and 12,304 is: 16,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.14 : 30,878.06 = 12,304 : x
  2. Step 2: Convert to fraction form
    22,375.14/30,878.06 = 12,304/x
  3. Step 3: Cross multiply
    22,375.14x = 30,878.06 × 12,304
  4. Step 4: Simplify right side
    22,375.14x = 379,923,650.24
  5. Step 5: Solve for x
    x = 379,923,650.24/22,375.14
  6. Step 6: Final answer
    x = 16,979.72

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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.