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Finding the Fourth Proportional to 13,478.66, 20,224.25 and 5,155.92

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Solution

The fourth proportional to 13,478.66, 20,224.25 and 5,155.92 is: 7,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.66 : 20,224.25 = 5,155.92 : x
  2. Step 2: Convert to fraction form
    13,478.66/20,224.25 = 5,155.92/x
  3. Step 3: Cross multiply
    13,478.66x = 20,224.25 × 5,155.92
  4. Step 4: Simplify right side
    13,478.66x = 104,274,589.28
  5. Step 5: Solve for x
    x = 104,274,589.28/13,478.66
  6. Step 6: Final answer
    x = 7,736.28

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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.