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Finding the Fourth Proportional to 24,728.00, 37,097.83 and 8,087.97

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Solution

The fourth proportional to 24,728.00, 37,097.83 and 8,087.97 is: 12,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.00 : 37,097.83 = 8,087.97 : x
  2. Step 2: Convert to fraction form
    24,728.00/37,097.83 = 8,087.97/x
  3. Step 3: Cross multiply
    24,728.00x = 37,097.83 × 8,087.97
  4. Step 4: Simplify right side
    24,728.00x = 300,045,950.62
  5. Step 5: Solve for x
    x = 300,045,950.62/24,728.00
  6. Step 6: Final answer
    x = 12,133.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.