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Finding the Fourth Proportional to 16,591.95, 24,887.25 and 4,112.01

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Solution

The fourth proportional to 16,591.95, 24,887.25 and 4,112.01 is: 6,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.95 : 24,887.25 = 4,112.01 : x
  2. Step 2: Convert to fraction form
    16,591.95/24,887.25 = 4,112.01/x
  3. Step 3: Cross multiply
    16,591.95x = 24,887.25 × 4,112.01
  4. Step 4: Simplify right side
    16,591.95x = 102,336,620.87
  5. Step 5: Solve for x
    x = 102,336,620.87/16,591.95
  6. Step 6: Final answer
    x = 6,167.85

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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.