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Finding the Fourth Proportional to 12,707.86, 17,548.38 and 8,239.09

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Solution

The fourth proportional to 12,707.86, 17,548.38 and 8,239.09 is: 11,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.86 : 17,548.38 = 8,239.09 : x
  2. Step 2: Convert to fraction form
    12,707.86/17,548.38 = 8,239.09/x
  3. Step 3: Cross multiply
    12,707.86x = 17,548.38 × 8,239.09
  4. Step 4: Simplify right side
    12,707.86x = 144,582,682.17
  5. Step 5: Solve for x
    x = 144,582,682.17/12,707.86
  6. Step 6: Final answer
    x = 11,377.42

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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.