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Finding the Fourth Proportional to 16,078.41, 24,121.14 and 5,404.38

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Solution

The fourth proportional to 16,078.41, 24,121.14 and 5,404.38 is: 8,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.41 : 24,121.14 = 5,404.38 : x
  2. Step 2: Convert to fraction form
    16,078.41/24,121.14 = 5,404.38/x
  3. Step 3: Cross multiply
    16,078.41x = 24,121.14 × 5,404.38
  4. Step 4: Simplify right side
    16,078.41x = 130,359,806.59
  5. Step 5: Solve for x
    x = 130,359,806.59/16,078.41
  6. Step 6: Final answer
    x = 8,107.75

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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.