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Finding the Fourth Proportional to 13,006.26, 17,949.33 and 7,340.76

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Solution

The fourth proportional to 13,006.26, 17,949.33 and 7,340.76 is: 10,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.26 : 17,949.33 = 7,340.76 : x
  2. Step 2: Convert to fraction form
    13,006.26/17,949.33 = 7,340.76/x
  3. Step 3: Cross multiply
    13,006.26x = 17,949.33 × 7,340.76
  4. Step 4: Simplify right side
    13,006.26x = 131,761,723.69
  5. Step 5: Solve for x
    x = 131,761,723.69/13,006.26
  6. Step 6: Final answer
    x = 10,130.64

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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.