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Finding the Fourth Proportional to 13,697.52, 20,546.22 and 3,309.26

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Solution

The fourth proportional to 13,697.52, 20,546.22 and 3,309.26 is: 4,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.52 : 20,546.22 = 3,309.26 : x
  2. Step 2: Convert to fraction form
    13,697.52/20,546.22 = 3,309.26/x
  3. Step 3: Cross multiply
    13,697.52x = 20,546.22 × 3,309.26
  4. Step 4: Simplify right side
    13,697.52x = 67,992,784.00
  5. Step 5: Solve for x
    x = 67,992,784.00/13,697.52
  6. Step 6: Final answer
    x = 4,963.88

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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.