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Finding the Fourth Proportional to 22,378.38, 30,878.07 and 13,882.56

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Solution

The fourth proportional to 22,378.38, 30,878.07 and 13,882.56 is: 19,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.38 : 30,878.07 = 13,882.56 : x
  2. Step 2: Convert to fraction form
    22,378.38/30,878.07 = 13,882.56/x
  3. Step 3: Cross multiply
    22,378.38x = 30,878.07 × 13,882.56
  4. Step 4: Simplify right side
    22,378.38x = 428,666,659.46
  5. Step 5: Solve for x
    x = 428,666,659.46/22,378.38
  6. Step 6: Final answer
    x = 19,155.39

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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.