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Finding the Fourth Proportional to 17,695.20, 24,414.96 and 11,400

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Solution

The fourth proportional to 17,695.20, 24,414.96 and 11,400 is: 15,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.20 : 24,414.96 = 11,400 : x
  2. Step 2: Convert to fraction form
    17,695.20/24,414.96 = 11,400/x
  3. Step 3: Cross multiply
    17,695.20x = 24,414.96 × 11,400
  4. Step 4: Simplify right side
    17,695.20x = 278,330,544
  5. Step 5: Solve for x
    x = 278,330,544/17,695.20
  6. Step 6: Final answer
    x = 15,729.16

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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.