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Finding the Fourth Proportional to 16,092.45, 22,195.04 and 9,712.38

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Solution

The fourth proportional to 16,092.45, 22,195.04 and 9,712.38 is: 13,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.45 : 22,195.04 = 9,712.38 : x
  2. Step 2: Convert to fraction form
    16,092.45/22,195.04 = 9,712.38/x
  3. Step 3: Cross multiply
    16,092.45x = 22,195.04 × 9,712.38
  4. Step 4: Simplify right side
    16,092.45x = 215,566,614.03
  5. Step 5: Solve for x
    x = 215,566,614.03/16,092.45
  6. Step 6: Final answer
    x = 13,395.51

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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.