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Finding the Fourth Proportional to 13,641.36, 20,455.16 and 5,314.97

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Solution

The fourth proportional to 13,641.36, 20,455.16 and 5,314.97 is: 7,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.36 : 20,455.16 = 5,314.97 : x
  2. Step 2: Convert to fraction form
    13,641.36/20,455.16 = 5,314.97/x
  3. Step 3: Cross multiply
    13,641.36x = 20,455.16 × 5,314.97
  4. Step 4: Simplify right side
    13,641.36x = 108,718,432.89
  5. Step 5: Solve for x
    x = 108,718,432.89/13,641.36
  6. Step 6: Final answer
    x = 7,969.76

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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.