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Finding the Fourth Proportional to 16,150.68, 24,228.45 and 5,760

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Solution

The fourth proportional to 16,150.68, 24,228.45 and 5,760 is: 8,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150.68 : 24,228.45 = 5,760 : x
  2. Step 2: Convert to fraction form
    16,150.68/24,228.45 = 5,760/x
  3. Step 3: Cross multiply
    16,150.68x = 24,228.45 × 5,760
  4. Step 4: Simplify right side
    16,150.68x = 139,555,872
  5. Step 5: Solve for x
    x = 139,555,872/16,150.68
  6. Step 6: Final answer
    x = 8,640.87

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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.