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Finding the Fourth Proportional to 13,794.49, 20,680.02 and 6,295.36

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Solution

The fourth proportional to 13,794.49, 20,680.02 and 6,295.36 is: 9,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.49 : 20,680.02 = 6,295.36 : x
  2. Step 2: Convert to fraction form
    13,794.49/20,680.02 = 6,295.36/x
  3. Step 3: Cross multiply
    13,794.49x = 20,680.02 × 6,295.36
  4. Step 4: Simplify right side
    13,794.49x = 130,188,170.71
  5. Step 5: Solve for x
    x = 130,188,170.71/13,794.49
  6. Step 6: Final answer
    x = 9,437.69

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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.