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Finding the Fourth Proportional to 20,170.38, 30,253.14 and 7,021.65

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Solution

The fourth proportional to 20,170.38, 30,253.14 and 7,021.65 is: 10,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.38 : 30,253.14 = 7,021.65 : x
  2. Step 2: Convert to fraction form
    20,170.38/30,253.14 = 7,021.65/x
  3. Step 3: Cross multiply
    20,170.38x = 30,253.14 × 7,021.65
  4. Step 4: Simplify right side
    20,170.38x = 212,426,960.48
  5. Step 5: Solve for x
    x = 212,426,960.48/20,170.38
  6. Step 6: Final answer
    x = 10,531.63

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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.