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Finding the Fourth Proportional to 13,659.88, 20,474.70 and 5,338.36

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Solution

The fourth proportional to 13,659.88, 20,474.70 and 5,338.36 is: 8,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.88 : 20,474.70 = 5,338.36 : x
  2. Step 2: Convert to fraction form
    13,659.88/20,474.70 = 5,338.36/x
  3. Step 3: Cross multiply
    13,659.88x = 20,474.70 × 5,338.36
  4. Step 4: Simplify right side
    13,659.88x = 109,301,319.49
  5. Step 5: Solve for x
    x = 109,301,319.49/13,659.88
  6. Step 6: Final answer
    x = 8,001.63

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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.