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Finding the Fourth Proportional to 13,562.96, 20,347.61 and 4,202.48

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Solution

The fourth proportional to 13,562.96, 20,347.61 and 4,202.48 is: 6,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.96 : 20,347.61 = 4,202.48 : x
  2. Step 2: Convert to fraction form
    13,562.96/20,347.61 = 4,202.48/x
  3. Step 3: Cross multiply
    13,562.96x = 20,347.61 × 4,202.48
  4. Step 4: Simplify right side
    13,562.96x = 85,510,453.93
  5. Step 5: Solve for x
    x = 85,510,453.93/13,562.96
  6. Step 6: Final answer
    x = 6,304.71

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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.