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Finding the Fourth Proportional to 22,009.44, 33,013.88 and 10,314.38

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Solution

The fourth proportional to 22,009.44, 33,013.88 and 10,314.38 is: 15,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.44 : 33,013.88 = 10,314.38 : x
  2. Step 2: Convert to fraction form
    22,009.44/33,013.88 = 10,314.38/x
  3. Step 3: Cross multiply
    22,009.44x = 33,013.88 × 10,314.38
  4. Step 4: Simplify right side
    22,009.44x = 340,517,703.59
  5. Step 5: Solve for x
    x = 340,517,703.59/22,009.44
  6. Step 6: Final answer
    x = 15,471.44

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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.