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Finding the Fourth Proportional to 22,131.80, 33,203.61 and 9,652.83

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Solution

The fourth proportional to 22,131.80, 33,203.61 and 9,652.83 is: 14,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131.80 : 33,203.61 = 9,652.83 : x
  2. Step 2: Convert to fraction form
    22,131.80/33,203.61 = 9,652.83/x
  3. Step 3: Cross multiply
    22,131.80x = 33,203.61 × 9,652.83
  4. Step 4: Simplify right side
    22,131.80x = 320,508,802.72
  5. Step 5: Solve for x
    x = 320,508,802.72/22,131.80
  6. Step 6: Final answer
    x = 14,481.82

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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.