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Finding the Fourth Proportional to 22,038.38, 33,057 and 5,398.28

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Solution

The fourth proportional to 22,038.38, 33,057 and 5,398.28 is: 8,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.38 : 33,057 = 5,398.28 : x
  2. Step 2: Convert to fraction form
    22,038.38/33,057 = 5,398.28/x
  3. Step 3: Cross multiply
    22,038.38x = 33,057 × 5,398.28
  4. Step 4: Simplify right side
    22,038.38x = 178,450,941.96
  5. Step 5: Solve for x
    x = 178,450,941.96/22,038.38
  6. Step 6: Final answer
    x = 8,097.28

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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.