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Finding the Fourth Proportional to 13,462.88, 20,195.12 and 4,228.88

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Solution

The fourth proportional to 13,462.88, 20,195.12 and 4,228.88 is: 6,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.88 : 20,195.12 = 4,228.88 : x
  2. Step 2: Convert to fraction form
    13,462.88/20,195.12 = 4,228.88/x
  3. Step 3: Cross multiply
    13,462.88x = 20,195.12 × 4,228.88
  4. Step 4: Simplify right side
    13,462.88x = 85,402,648.66
  5. Step 5: Solve for x
    x = 85,402,648.66/13,462.88
  6. Step 6: Final answer
    x = 6,343.57

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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.