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Finding the Fourth Proportional to 12,269.75, 18,404.22 and 3,950.24

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Solution

The fourth proportional to 12,269.75, 18,404.22 and 3,950.24 is: 5,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.75 : 18,404.22 = 3,950.24 : x
  2. Step 2: Convert to fraction form
    12,269.75/18,404.22 = 3,950.24/x
  3. Step 3: Cross multiply
    12,269.75x = 18,404.22 × 3,950.24
  4. Step 4: Simplify right side
    12,269.75x = 72,701,086.01
  5. Step 5: Solve for x
    x = 72,701,086.01/12,269.75
  6. Step 6: Final answer
    x = 5,925.23

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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.