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Finding the Fourth Proportional to 13,616.39, 20,432.76 and 5,825.21

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Solution

The fourth proportional to 13,616.39, 20,432.76 and 5,825.21 is: 8,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.39 : 20,432.76 = 5,825.21 : x
  2. Step 2: Convert to fraction form
    13,616.39/20,432.76 = 5,825.21/x
  3. Step 3: Cross multiply
    13,616.39x = 20,432.76 × 5,825.21
  4. Step 4: Simplify right side
    13,616.39x = 119,025,015.72
  5. Step 5: Solve for x
    x = 119,025,015.72/13,616.39
  6. Step 6: Final answer
    x = 8,741.31

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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.