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Finding the Fourth Proportional to 23,097.28, 34,651.04 and 6,680

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Solution

The fourth proportional to 23,097.28, 34,651.04 and 6,680 is: 10,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.28 : 34,651.04 = 6,680 : x
  2. Step 2: Convert to fraction form
    23,097.28/34,651.04 = 6,680/x
  3. Step 3: Cross multiply
    23,097.28x = 34,651.04 × 6,680
  4. Step 4: Simplify right side
    23,097.28x = 231,468,947.20
  5. Step 5: Solve for x
    x = 231,468,947.20/23,097.28
  6. Step 6: Final answer
    x = 10,021.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.