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Finding the Fourth Proportional to 22,164.31, 33,217.74 and 9,001.39

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Solution

The fourth proportional to 22,164.31, 33,217.74 and 9,001.39 is: 13,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.31 : 33,217.74 = 9,001.39 : x
  2. Step 2: Convert to fraction form
    22,164.31/33,217.74 = 9,001.39/x
  3. Step 3: Cross multiply
    22,164.31x = 33,217.74 × 9,001.39
  4. Step 4: Simplify right side
    22,164.31x = 299,005,832.66
  5. Step 5: Solve for x
    x = 299,005,832.66/22,164.31
  6. Step 6: Final answer
    x = 13,490.42

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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.