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Finding the Fourth Proportional to 22,318.26, 33,477.62 and 5,678.30

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Solution

The fourth proportional to 22,318.26, 33,477.62 and 5,678.30 is: 8,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.26 : 33,477.62 = 5,678.30 : x
  2. Step 2: Convert to fraction form
    22,318.26/33,477.62 = 5,678.30/x
  3. Step 3: Cross multiply
    22,318.26x = 33,477.62 × 5,678.30
  4. Step 4: Simplify right side
    22,318.26x = 190,095,969.65
  5. Step 5: Solve for x
    x = 190,095,969.65/22,318.26
  6. Step 6: Final answer
    x = 8,517.51

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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.