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Finding the Fourth Proportional to 13,542.55, 20,311.98 and 4,776.31

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Solution

The fourth proportional to 13,542.55, 20,311.98 and 4,776.31 is: 7,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.55 : 20,311.98 = 4,776.31 : x
  2. Step 2: Convert to fraction form
    13,542.55/20,311.98 = 4,776.31/x
  3. Step 3: Cross multiply
    13,542.55x = 20,311.98 × 4,776.31
  4. Step 4: Simplify right side
    13,542.55x = 97,016,313.19
  5. Step 5: Solve for x
    x = 97,016,313.19/13,542.55
  6. Step 6: Final answer
    x = 7,163.81

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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.