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Finding the Fourth Proportional to 21,882.61, 30,238.87 and 17,902.27

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Solution

The fourth proportional to 21,882.61, 30,238.87 and 17,902.27 is: 24,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.61 : 30,238.87 = 17,902.27 : x
  2. Step 2: Convert to fraction form
    21,882.61/30,238.87 = 17,902.27/x
  3. Step 3: Cross multiply
    21,882.61x = 30,238.87 × 17,902.27
  4. Step 4: Simplify right side
    21,882.61x = 541,344,415.23
  5. Step 5: Solve for x
    x = 541,344,415.23/21,882.61
  6. Step 6: Final answer
    x = 24,738.57

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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.