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Finding the Fourth Proportional to 22,311.51, 33,462.07 and 6,513.22

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Solution

The fourth proportional to 22,311.51, 33,462.07 and 6,513.22 is: 9,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.51 : 33,462.07 = 6,513.22 : x
  2. Step 2: Convert to fraction form
    22,311.51/33,462.07 = 6,513.22/x
  3. Step 3: Cross multiply
    22,311.51x = 33,462.07 × 6,513.22
  4. Step 4: Simplify right side
    22,311.51x = 217,945,791.00
  5. Step 5: Solve for x
    x = 217,945,791.00/22,311.51
  6. Step 6: Final answer
    x = 9,768.31

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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.