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Finding the Fourth Proportional to 15,197.74, 20,956.35 and 9,882.70

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Solution

The fourth proportional to 15,197.74, 20,956.35 and 9,882.70 is: 13,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.74 : 20,956.35 = 9,882.70 : x
  2. Step 2: Convert to fraction form
    15,197.74/20,956.35 = 9,882.70/x
  3. Step 3: Cross multiply
    15,197.74x = 20,956.35 × 9,882.70
  4. Step 4: Simplify right side
    15,197.74x = 207,105,320.15
  5. Step 5: Solve for x
    x = 207,105,320.15/15,197.74
  6. Step 6: Final answer
    x = 13,627.38

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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.