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Finding the Fourth Proportional to 13,616.16, 20,425.50 and 5,296.81

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Solution

The fourth proportional to 13,616.16, 20,425.50 and 5,296.81 is: 7,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.16 : 20,425.50 = 5,296.81 : x
  2. Step 2: Convert to fraction form
    13,616.16/20,425.50 = 5,296.81/x
  3. Step 3: Cross multiply
    13,616.16x = 20,425.50 × 5,296.81
  4. Step 4: Simplify right side
    13,616.16x = 108,189,992.66
  5. Step 5: Solve for x
    x = 108,189,992.66/13,616.16
  6. Step 6: Final answer
    x = 7,945.71

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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.