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Finding the Fourth Proportional to 22,016.22, 33,033.93 and 9,534.30

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Solution

The fourth proportional to 22,016.22, 33,033.93 and 9,534.30 is: 14,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.22 : 33,033.93 = 9,534.30 : x
  2. Step 2: Convert to fraction form
    22,016.22/33,033.93 = 9,534.30/x
  3. Step 3: Cross multiply
    22,016.22x = 33,033.93 × 9,534.30
  4. Step 4: Simplify right side
    22,016.22x = 314,955,398.80
  5. Step 5: Solve for x
    x = 314,955,398.80/22,016.22
  6. Step 6: Final answer
    x = 14,305.61

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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.