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Finding the Fourth Proportional to 13,462.95, 20,197.33 and 4,102.73

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Solution

The fourth proportional to 13,462.95, 20,197.33 and 4,102.73 is: 6,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.95 : 20,197.33 = 4,102.73 : x
  2. Step 2: Convert to fraction form
    13,462.95/20,197.33 = 4,102.73/x
  3. Step 3: Cross multiply
    13,462.95x = 20,197.33 × 4,102.73
  4. Step 4: Simplify right side
    13,462.95x = 82,864,090.72
  5. Step 5: Solve for x
    x = 82,864,090.72/13,462.95
  6. Step 6: Final answer
    x = 6,154.97

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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.