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Finding the Fourth Proportional to 12,347.78, 17,039.81 and 6,682.41

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Solution

The fourth proportional to 12,347.78, 17,039.81 and 6,682.41 is: 9,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.78 : 17,039.81 = 6,682.41 : x
  2. Step 2: Convert to fraction form
    12,347.78/17,039.81 = 6,682.41/x
  3. Step 3: Cross multiply
    12,347.78x = 17,039.81 × 6,682.41
  4. Step 4: Simplify right side
    12,347.78x = 113,866,882.59
  5. Step 5: Solve for x
    x = 113,866,882.59/12,347.78
  6. Step 6: Final answer
    x = 9,221.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.