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Finding the Fourth Proportional to 12,298.88, 16,988.46 and 9,949.88

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Solution

The fourth proportional to 12,298.88, 16,988.46 and 9,949.88 is: 13,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.88 : 16,988.46 = 9,949.88 : x
  2. Step 2: Convert to fraction form
    12,298.88/16,988.46 = 9,949.88/x
  3. Step 3: Cross multiply
    12,298.88x = 16,988.46 × 9,949.88
  4. Step 4: Simplify right side
    12,298.88x = 169,033,138.38
  5. Step 5: Solve for x
    x = 169,033,138.38/12,298.88
  6. Step 6: Final answer
    x = 13,743.78

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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.