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Finding the Fourth Proportional to 13,468.80, 20,194.50 and 5,675.52

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Solution

The fourth proportional to 13,468.80, 20,194.50 and 5,675.52 is: 8,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.80 : 20,194.50 = 5,675.52 : x
  2. Step 2: Convert to fraction form
    13,468.80/20,194.50 = 5,675.52/x
  3. Step 3: Cross multiply
    13,468.80x = 20,194.50 × 5,675.52
  4. Step 4: Simplify right side
    13,468.80x = 114,614,288.64
  5. Step 5: Solve for x
    x = 114,614,288.64/13,468.80
  6. Step 6: Final answer
    x = 8,509.61

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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.