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Finding the Fourth Proportional to 12,947.40, 17,869.17 and 7,571.48

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Solution

The fourth proportional to 12,947.40, 17,869.17 and 7,571.48 is: 10,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.40 : 17,869.17 = 7,571.48 : x
  2. Step 2: Convert to fraction form
    12,947.40/17,869.17 = 7,571.48/x
  3. Step 3: Cross multiply
    12,947.40x = 17,869.17 × 7,571.48
  4. Step 4: Simplify right side
    12,947.40x = 135,295,973.93
  5. Step 5: Solve for x
    x = 135,295,973.93/12,947.40
  6. Step 6: Final answer
    x = 10,449.66

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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.