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Finding the Fourth Proportional to 19,314.28, 28,971.50 and 6,834.31

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Solution

The fourth proportional to 19,314.28, 28,971.50 and 6,834.31 is: 10,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.28 : 28,971.50 = 6,834.31 : x
  2. Step 2: Convert to fraction form
    19,314.28/28,971.50 = 6,834.31/x
  3. Step 3: Cross multiply
    19,314.28x = 28,971.50 × 6,834.31
  4. Step 4: Simplify right side
    19,314.28x = 198,000,105.56
  5. Step 5: Solve for x
    x = 198,000,105.56/19,314.28
  6. Step 6: Final answer
    x = 10,251.49

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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.