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Finding the Fourth Proportional to 12,832.42, 17,707.49 and 7,166.72

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Solution

The fourth proportional to 12,832.42, 17,707.49 and 7,166.72 is: 9,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.42 : 17,707.49 = 7,166.72 : x
  2. Step 2: Convert to fraction form
    12,832.42/17,707.49 = 7,166.72/x
  3. Step 3: Cross multiply
    12,832.42x = 17,707.49 × 7,166.72
  4. Step 4: Simplify right side
    12,832.42x = 126,904,622.73
  5. Step 5: Solve for x
    x = 126,904,622.73/12,832.42
  6. Step 6: Final answer
    x = 9,889.38

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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.