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Finding the Fourth Proportional to 13,006.68, 17,947.89 and 7,340.91

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Solution

The fourth proportional to 13,006.68, 17,947.89 and 7,340.91 is: 10,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.68 : 17,947.89 = 7,340.91 : x
  2. Step 2: Convert to fraction form
    13,006.68/17,947.89 = 7,340.91/x
  3. Step 3: Cross multiply
    13,006.68x = 17,947.89 × 7,340.91
  4. Step 4: Simplify right side
    13,006.68x = 131,753,845.18
  5. Step 5: Solve for x
    x = 131,753,845.18/13,006.68
  6. Step 6: Final answer
    x = 10,129.71

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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.