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Finding the Fourth Proportional to 15,170.14, 20,928.70 and 9,199.63

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Solution

The fourth proportional to 15,170.14, 20,928.70 and 9,199.63 is: 12,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170.14 : 20,928.70 = 9,199.63 : x
  2. Step 2: Convert to fraction form
    15,170.14/20,928.70 = 9,199.63/x
  3. Step 3: Cross multiply
    15,170.14x = 20,928.70 × 9,199.63
  4. Step 4: Simplify right side
    15,170.14x = 192,536,296.38
  5. Step 5: Solve for x
    x = 192,536,296.38/15,170.14
  6. Step 6: Final answer
    x = 12,691.79

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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.