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Finding the Fourth Proportional to 11,900.00, 17,846.35 and 8,225.84

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Solution

The fourth proportional to 11,900.00, 17,846.35 and 8,225.84 is: 12,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.00 : 17,846.35 = 8,225.84 : x
  2. Step 2: Convert to fraction form
    11,900.00/17,846.35 = 8,225.84/x
  3. Step 3: Cross multiply
    11,900.00x = 17,846.35 × 8,225.84
  4. Step 4: Simplify right side
    11,900.00x = 146,801,243.74
  5. Step 5: Solve for x
    x = 146,801,243.74/11,900.00
  6. Step 6: Final answer
    x = 12,336.24

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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.