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Finding the Fourth Proportional to 16,140.54, 22,275.14 and 9,067.38

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Solution

The fourth proportional to 16,140.54, 22,275.14 and 9,067.38 is: 12,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.54 : 22,275.14 = 9,067.38 : x
  2. Step 2: Convert to fraction form
    16,140.54/22,275.14 = 9,067.38/x
  3. Step 3: Cross multiply
    16,140.54x = 22,275.14 × 9,067.38
  4. Step 4: Simplify right side
    16,140.54x = 201,977,158.93
  5. Step 5: Solve for x
    x = 201,977,158.93/16,140.54
  6. Step 6: Final answer
    x = 12,513.66

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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.