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Finding the Fourth Proportional to 13,481.90, 20,222.16 and 5,165.90

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Solution

The fourth proportional to 13,481.90, 20,222.16 and 5,165.90 is: 7,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.90 : 20,222.16 = 5,165.90 : x
  2. Step 2: Convert to fraction form
    13,481.90/20,222.16 = 5,165.90/x
  3. Step 3: Cross multiply
    13,481.90x = 20,222.16 × 5,165.90
  4. Step 4: Simplify right side
    13,481.90x = 104,465,656.34
  5. Step 5: Solve for x
    x = 104,465,656.34/13,481.90
  6. Step 6: Final answer
    x = 7,748.59

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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.