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Finding the Fourth Proportional to 16,141.06, 24,206.73 and 6,277.99

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Solution

The fourth proportional to 16,141.06, 24,206.73 and 6,277.99 is: 9,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.06 : 24,206.73 = 6,277.99 : x
  2. Step 2: Convert to fraction form
    16,141.06/24,206.73 = 6,277.99/x
  3. Step 3: Cross multiply
    16,141.06x = 24,206.73 × 6,277.99
  4. Step 4: Simplify right side
    16,141.06x = 151,969,608.87
  5. Step 5: Solve for x
    x = 151,969,608.87/16,141.06
  6. Step 6: Final answer
    x = 9,415.09

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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.