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Finding the Fourth Proportional to 12,269.85, 18,406.51 and 3,947.93

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Solution

The fourth proportional to 12,269.85, 18,406.51 and 3,947.93 is: 5,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.85 : 18,406.51 = 3,947.93 : x
  2. Step 2: Convert to fraction form
    12,269.85/18,406.51 = 3,947.93/x
  3. Step 3: Cross multiply
    12,269.85x = 18,406.51 × 3,947.93
  4. Step 4: Simplify right side
    12,269.85x = 72,667,613.02
  5. Step 5: Solve for x
    x = 72,667,613.02/12,269.85
  6. Step 6: Final answer
    x = 5,922.45

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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.