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Finding the Fourth Proportional to 13,032.11, 17,983.22 and 7,367.38

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Solution

The fourth proportional to 13,032.11, 17,983.22 and 7,367.38 is: 10,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.11 : 17,983.22 = 7,367.38 : x
  2. Step 2: Convert to fraction form
    13,032.11/17,983.22 = 7,367.38/x
  3. Step 3: Cross multiply
    13,032.11x = 17,983.22 × 7,367.38
  4. Step 4: Simplify right side
    13,032.11x = 132,489,133.57
  5. Step 5: Solve for x
    x = 132,489,133.57/13,032.11
  6. Step 6: Final answer
    x = 10,166.36

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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.