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Finding the Fourth Proportional to 12,347.81, 17,039.85 and 6,682.43

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Solution

The fourth proportional to 12,347.81, 17,039.85 and 6,682.43 is: 9,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.81 : 17,039.85 = 6,682.43 : x
  2. Step 2: Convert to fraction form
    12,347.81/17,039.85 = 6,682.43/x
  3. Step 3: Cross multiply
    12,347.81x = 17,039.85 × 6,682.43
  4. Step 4: Simplify right side
    12,347.81x = 113,867,622.38
  5. Step 5: Solve for x
    x = 113,867,622.38/12,347.81
  6. Step 6: Final answer
    x = 9,221.69

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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.