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Finding the Fourth Proportional to 13,462.86, 20,191.86 and 4,100.64

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Solution

The fourth proportional to 13,462.86, 20,191.86 and 4,100.64 is: 6,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.86 : 20,191.86 = 4,100.64 : x
  2. Step 2: Convert to fraction form
    13,462.86/20,191.86 = 4,100.64/x
  3. Step 3: Cross multiply
    13,462.86x = 20,191.86 × 4,100.64
  4. Step 4: Simplify right side
    13,462.86x = 82,799,548.79
  5. Step 5: Solve for x
    x = 82,799,548.79/13,462.86
  6. Step 6: Final answer
    x = 6,150.22

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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.