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Finding the Fourth Proportional to 22,026.31, 33,039.47 and 6,443.94

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Solution

The fourth proportional to 22,026.31, 33,039.47 and 6,443.94 is: 9,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.31 : 33,039.47 = 6,443.94 : x
  2. Step 2: Convert to fraction form
    22,026.31/33,039.47 = 6,443.94/x
  3. Step 3: Cross multiply
    22,026.31x = 33,039.47 × 6,443.94
  4. Step 4: Simplify right side
    22,026.31x = 212,904,362.31
  5. Step 5: Solve for x
    x = 212,904,362.31/22,026.31
  6. Step 6: Final answer
    x = 9,665.91

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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.