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Finding the Fourth Proportional to 11,826.63, 17,722.94 and 8,133.03

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Solution

The fourth proportional to 11,826.63, 17,722.94 and 8,133.03 is: 12,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.63 : 17,722.94 = 8,133.03 : x
  2. Step 2: Convert to fraction form
    11,826.63/17,722.94 = 8,133.03/x
  3. Step 3: Cross multiply
    11,826.63x = 17,722.94 × 8,133.03
  4. Step 4: Simplify right side
    11,826.63x = 144,141,162.04
  5. Step 5: Solve for x
    x = 144,141,162.04/11,826.63
  6. Step 6: Final answer
    x = 12,187.85

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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.