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Finding the Fourth Proportional to 20,167.50, 30,256.14 and 7,019.94

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Solution

The fourth proportional to 20,167.50, 30,256.14 and 7,019.94 is: 10,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.50 : 30,256.14 = 7,019.94 : x
  2. Step 2: Convert to fraction form
    20,167.50/30,256.14 = 7,019.94/x
  3. Step 3: Cross multiply
    20,167.50x = 30,256.14 × 7,019.94
  4. Step 4: Simplify right side
    20,167.50x = 212,396,287.43
  5. Step 5: Solve for x
    x = 212,396,287.43/20,167.50
  6. Step 6: Final answer
    x = 10,531.61

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Why These Related Problems?

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