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Finding the Fourth Proportional to 15,992.16, 22,067.76 and 9,704.16

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Solution

The fourth proportional to 15,992.16, 22,067.76 and 9,704.16 is: 13,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.16 : 22,067.76 = 9,704.16 : x
  2. Step 2: Convert to fraction form
    15,992.16/22,067.76 = 9,704.16/x
  3. Step 3: Cross multiply
    15,992.16x = 22,067.76 × 9,704.16
  4. Step 4: Simplify right side
    15,992.16x = 214,149,073.88
  5. Step 5: Solve for x
    x = 214,149,073.88/15,992.16
  6. Step 6: Final answer
    x = 13,390.88

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1.5x scale

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.