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Finding the Fourth Proportional to 16,129.49, 24,195.78 and 6,269.54

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Solution

The fourth proportional to 16,129.49, 24,195.78 and 6,269.54 is: 9,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.49 : 24,195.78 = 6,269.54 : x
  2. Step 2: Convert to fraction form
    16,129.49/24,195.78 = 6,269.54/x
  3. Step 3: Cross multiply
    16,129.49x = 24,195.78 × 6,269.54
  4. Step 4: Simplify right side
    16,129.49x = 151,696,289.56
  5. Step 5: Solve for x
    x = 151,696,289.56/16,129.49
  6. Step 6: Final answer
    x = 9,404.91

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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.