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Finding the Fourth Proportional to 14,310.83, 19,747.98 and 7,937.19

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Solution

The fourth proportional to 14,310.83, 19,747.98 and 7,937.19 is: 10,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.83 : 19,747.98 = 7,937.19 : x
  2. Step 2: Convert to fraction form
    14,310.83/19,747.98 = 7,937.19/x
  3. Step 3: Cross multiply
    14,310.83x = 19,747.98 × 7,937.19
  4. Step 4: Simplify right side
    14,310.83x = 156,743,469.38
  5. Step 5: Solve for x
    x = 156,743,469.38/14,310.83
  6. Step 6: Final answer
    x = 10,952.79

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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.