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Finding the Fourth Proportional to 22,207.31, 33,323.57 and 8,165.51

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Solution

The fourth proportional to 22,207.31, 33,323.57 and 8,165.51 is: 12,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.31 : 33,323.57 = 8,165.51 : x
  2. Step 2: Convert to fraction form
    22,207.31/33,323.57 = 8,165.51/x
  3. Step 3: Cross multiply
    22,207.31x = 33,323.57 × 8,165.51
  4. Step 4: Simplify right side
    22,207.31x = 272,103,944.07
  5. Step 5: Solve for x
    x = 272,103,944.07/22,207.31
  6. Step 6: Final answer
    x = 12,252.90

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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.