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Finding the Fourth Proportional to 13,659.42, 20,494.02 and 5,763.90

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Solution

The fourth proportional to 13,659.42, 20,494.02 and 5,763.90 is: 8,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.42 : 20,494.02 = 5,763.90 : x
  2. Step 2: Convert to fraction form
    13,659.42/20,494.02 = 5,763.90/x
  3. Step 3: Cross multiply
    13,659.42x = 20,494.02 × 5,763.90
  4. Step 4: Simplify right side
    13,659.42x = 118,125,481.88
  5. Step 5: Solve for x
    x = 118,125,481.88/13,659.42
  6. Step 6: Final answer
    x = 8,647.91

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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.