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Finding the Fourth Proportional to 12,833.68, 17,711.40 and 7,169.56

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Solution

The fourth proportional to 12,833.68, 17,711.40 and 7,169.56 is: 9,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.68 : 17,711.40 = 7,169.56 : x
  2. Step 2: Convert to fraction form
    12,833.68/17,711.40 = 7,169.56/x
  3. Step 3: Cross multiply
    12,833.68x = 17,711.40 × 7,169.56
  4. Step 4: Simplify right side
    12,833.68x = 126,982,944.98
  5. Step 5: Solve for x
    x = 126,982,944.98/12,833.68
  6. Step 6: Final answer
    x = 9,894.51

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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.