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Finding the Fourth Proportional to 12,945.92, 17,863.68 and 7,356.80

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Solution

The fourth proportional to 12,945.92, 17,863.68 and 7,356.80 is: 10,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.92 : 17,863.68 = 7,356.80 : x
  2. Step 2: Convert to fraction form
    12,945.92/17,863.68 = 7,356.80/x
  3. Step 3: Cross multiply
    12,945.92x = 17,863.68 × 7,356.80
  4. Step 4: Simplify right side
    12,945.92x = 131,419,521.02
  5. Step 5: Solve for x
    x = 131,419,521.02/12,945.92
  6. Step 6: Final answer
    x = 10,151.42

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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.