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Finding the Fourth Proportional to 16,591.86, 24,887.21 and 4,112.01

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Solution

The fourth proportional to 16,591.86, 24,887.21 and 4,112.01 is: 6,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.86 : 24,887.21 = 4,112.01 : x
  2. Step 2: Convert to fraction form
    16,591.86/24,887.21 = 4,112.01/x
  3. Step 3: Cross multiply
    16,591.86x = 24,887.21 × 4,112.01
  4. Step 4: Simplify right side
    16,591.86x = 102,336,435.83
  5. Step 5: Solve for x
    x = 102,336,435.83/16,591.86
  6. Step 6: Final answer
    x = 6,167.87

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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.