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Finding the Fourth Proportional to 22,016.04, 33,029.10 and 9,538.14

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Solution

The fourth proportional to 22,016.04, 33,029.10 and 9,538.14 is: 14,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.04 : 33,029.10 = 9,538.14 : x
  2. Step 2: Convert to fraction form
    22,016.04/33,029.10 = 9,538.14/x
  3. Step 3: Cross multiply
    22,016.04x = 33,029.10 × 9,538.14
  4. Step 4: Simplify right side
    22,016.04x = 315,036,179.87
  5. Step 5: Solve for x
    x = 315,036,179.87/22,016.04
  6. Step 6: Final answer
    x = 14,309.39

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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.