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Finding the Fourth Proportional to 13,651.61, 20,469.32 and 5,321.90

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Solution

The fourth proportional to 13,651.61, 20,469.32 and 5,321.90 is: 7,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.61 : 20,469.32 = 5,321.90 : x
  2. Step 2: Convert to fraction form
    13,651.61/20,469.32 = 5,321.90/x
  3. Step 3: Cross multiply
    13,651.61x = 20,469.32 × 5,321.90
  4. Step 4: Simplify right side
    13,651.61x = 108,935,585.07
  5. Step 5: Solve for x
    x = 108,935,585.07/13,651.61
  6. Step 6: Final answer
    x = 7,979.69

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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.