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Finding the Fourth Proportional to 16,138.52, 22,271.16 and 9,067.22

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Solution

The fourth proportional to 16,138.52, 22,271.16 and 9,067.22 is: 12,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.52 : 22,271.16 = 9,067.22 : x
  2. Step 2: Convert to fraction form
    16,138.52/22,271.16 = 9,067.22/x
  3. Step 3: Cross multiply
    16,138.52x = 22,271.16 × 9,067.22
  4. Step 4: Simplify right side
    16,138.52x = 201,937,507.38
  5. Step 5: Solve for x
    x = 201,937,507.38/16,138.52
  6. Step 6: Final answer
    x = 12,512.76

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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.