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Finding the Fourth Proportional to 15,713.60, 23,562.19 and 10,169.55

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Solution

The fourth proportional to 15,713.60, 23,562.19 and 10,169.55 is: 15,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.60 : 23,562.19 = 10,169.55 : x
  2. Step 2: Convert to fraction form
    15,713.60/23,562.19 = 10,169.55/x
  3. Step 3: Cross multiply
    15,713.60x = 23,562.19 × 10,169.55
  4. Step 4: Simplify right side
    15,713.60x = 239,616,882.03
  5. Step 5: Solve for x
    x = 239,616,882.03/15,713.60
  6. Step 6: Final answer
    x = 15,249.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.