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Finding the Fourth Proportional to 12,960.41, 17,884.80 and 7,933.14

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Solution

The fourth proportional to 12,960.41, 17,884.80 and 7,933.14 is: 10,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.41 : 17,884.80 = 7,933.14 : x
  2. Step 2: Convert to fraction form
    12,960.41/17,884.80 = 7,933.14/x
  3. Step 3: Cross multiply
    12,960.41x = 17,884.80 × 7,933.14
  4. Step 4: Simplify right side
    12,960.41x = 141,882,622.27
  5. Step 5: Solve for x
    x = 141,882,622.27/12,960.41
  6. Step 6: Final answer
    x = 10,947.39

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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.