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Finding the Fourth Proportional to 13,632.97, 20,449.71 and 4,272.78

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Solution

The fourth proportional to 13,632.97, 20,449.71 and 4,272.78 is: 6,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.97 : 20,449.71 = 4,272.78 : x
  2. Step 2: Convert to fraction form
    13,632.97/20,449.71 = 4,272.78/x
  3. Step 3: Cross multiply
    13,632.97x = 20,449.71 × 4,272.78
  4. Step 4: Simplify right side
    13,632.97x = 87,377,109.22
  5. Step 5: Solve for x
    x = 87,377,109.22/13,632.97
  6. Step 6: Final answer
    x = 6,409.25

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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.