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Finding the Fourth Proportional to 16,051.92, 24,078.87 and 6,191.07

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Solution

The fourth proportional to 16,051.92, 24,078.87 and 6,191.07 is: 9,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.92 : 24,078.87 = 6,191.07 : x
  2. Step 2: Convert to fraction form
    16,051.92/24,078.87 = 6,191.07/x
  3. Step 3: Cross multiply
    16,051.92x = 24,078.87 × 6,191.07
  4. Step 4: Simplify right side
    16,051.92x = 149,073,969.69
  5. Step 5: Solve for x
    x = 149,073,969.69/16,051.92
  6. Step 6: Final answer
    x = 9,286.99

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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.