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Finding the Fourth Proportional to 12,947.24, 17,873.22 and 9,761.82

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Solution

The fourth proportional to 12,947.24, 17,873.22 and 9,761.82 is: 13,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.24 : 17,873.22 = 9,761.82 : x
  2. Step 2: Convert to fraction form
    12,947.24/17,873.22 = 9,761.82/x
  3. Step 3: Cross multiply
    12,947.24x = 17,873.22 × 9,761.82
  4. Step 4: Simplify right side
    12,947.24x = 174,475,156.46
  5. Step 5: Solve for x
    x = 174,475,156.46/12,947.24
  6. Step 6: Final answer
    x = 13,475.86

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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.