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Finding the Fourth Proportional to 13,550.92, 20,311.55 and 6,977.50

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Solution

The fourth proportional to 13,550.92, 20,311.55 and 6,977.50 is: 10,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,550.92 : 20,311.55 = 6,977.50 : x
  2. Step 2: Convert to fraction form
    13,550.92/20,311.55 = 6,977.50/x
  3. Step 3: Cross multiply
    13,550.92x = 20,311.55 × 6,977.50
  4. Step 4: Simplify right side
    13,550.92x = 141,723,780.62
  5. Step 5: Solve for x
    x = 141,723,780.62/13,550.92
  6. Step 6: Final answer
    x = 10,458.61

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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.