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Finding the Fourth Proportional to 16,186.52, 22,334 and 9,470.85

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Solution

The fourth proportional to 16,186.52, 22,334 and 9,470.85 is: 13,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.52 : 22,334 = 9,470.85 : x
  2. Step 2: Convert to fraction form
    16,186.52/22,334 = 9,470.85/x
  3. Step 3: Cross multiply
    16,186.52x = 22,334 × 9,470.85
  4. Step 4: Simplify right side
    16,186.52x = 211,521,963.90
  5. Step 5: Solve for x
    x = 211,521,963.90/16,186.52
  6. Step 6: Final answer
    x = 13,067.79

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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.