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Finding the Fourth Proportional to 16,698.42, 23,042.97 and 9,143.37

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Solution

The fourth proportional to 16,698.42, 23,042.97 and 9,143.37 is: 12,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698.42 : 23,042.97 = 9,143.37 : x
  2. Step 2: Convert to fraction form
    16,698.42/23,042.97 = 9,143.37/x
  3. Step 3: Cross multiply
    16,698.42x = 23,042.97 × 9,143.37
  4. Step 4: Simplify right side
    16,698.42x = 210,690,400.61
  5. Step 5: Solve for x
    x = 210,690,400.61/16,698.42
  6. Step 6: Final answer
    x = 12,617.39

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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.