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Finding the Fourth Proportional to 13,222.09, 19,832.82 and 5,822.11

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Solution

The fourth proportional to 13,222.09, 19,832.82 and 5,822.11 is: 8,733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.09 : 19,832.82 = 5,822.11 : x
  2. Step 2: Convert to fraction form
    13,222.09/19,832.82 = 5,822.11/x
  3. Step 3: Cross multiply
    13,222.09x = 19,832.82 × 5,822.11
  4. Step 4: Simplify right side
    13,222.09x = 115,468,859.65
  5. Step 5: Solve for x
    x = 115,468,859.65/13,222.09
  6. Step 6: Final answer
    x = 8,733.03

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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.