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Finding the Fourth Proportional to 12,253.87, 16,914.20 and 6,952.21

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Solution

The fourth proportional to 12,253.87, 16,914.20 and 6,952.21 is: 9,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.87 : 16,914.20 = 6,952.21 : x
  2. Step 2: Convert to fraction form
    12,253.87/16,914.20 = 6,952.21/x
  3. Step 3: Cross multiply
    12,253.87x = 16,914.20 × 6,952.21
  4. Step 4: Simplify right side
    12,253.87x = 117,591,070.38
  5. Step 5: Solve for x
    x = 117,591,070.38/12,253.87
  6. Step 6: Final answer
    x = 9,596.24

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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.