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Finding the Fourth Proportional to 22,435.92, 33,624.72 and 22,086

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Solution

The fourth proportional to 22,435.92, 33,624.72 and 22,086 is: 33,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.92 : 33,624.72 = 22,086 : x
  2. Step 2: Convert to fraction form
    22,435.92/33,624.72 = 22,086/x
  3. Step 3: Cross multiply
    22,435.92x = 33,624.72 × 22,086
  4. Step 4: Simplify right side
    22,435.92x = 742,635,565.92
  5. Step 5: Solve for x
    x = 742,635,565.92/22,435.92
  6. Step 6: Final answer
    x = 33,100.29

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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.