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Finding the Fourth Proportional to 20,222.88, 30,349.85 and 13,882.88

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Solution

The fourth proportional to 20,222.88, 30,349.85 and 13,882.88 is: 20,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.88 : 30,349.85 = 13,882.88 : x
  2. Step 2: Convert to fraction form
    20,222.88/30,349.85 = 13,882.88/x
  3. Step 3: Cross multiply
    20,222.88x = 30,349.85 × 13,882.88
  4. Step 4: Simplify right side
    20,222.88x = 421,343,104.40
  5. Step 5: Solve for x
    x = 421,343,104.40/20,222.88
  6. Step 6: Final answer
    x = 20,834.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.