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Finding the Fourth Proportional to 21,774.38, 30,049.25 and 12,343.55

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Solution

The fourth proportional to 21,774.38, 30,049.25 and 12,343.55 is: 17,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.38 : 30,049.25 = 12,343.55 : x
  2. Step 2: Convert to fraction form
    21,774.38/30,049.25 = 12,343.55/x
  3. Step 3: Cross multiply
    21,774.38x = 30,049.25 × 12,343.55
  4. Step 4: Simplify right side
    21,774.38x = 370,914,207.87
  5. Step 5: Solve for x
    x = 370,914,207.87/21,774.38
  6. Step 6: Final answer
    x = 17,034.44

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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.