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Finding the Fourth Proportional to 22,287.47, 33,431.25 and 5,647.50

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Solution

The fourth proportional to 22,287.47, 33,431.25 and 5,647.50 is: 8,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.47 : 33,431.25 = 5,647.50 : x
  2. Step 2: Convert to fraction form
    22,287.47/33,431.25 = 5,647.50/x
  3. Step 3: Cross multiply
    22,287.47x = 33,431.25 × 5,647.50
  4. Step 4: Simplify right side
    22,287.47x = 188,802,984.38
  5. Step 5: Solve for x
    x = 188,802,984.38/22,287.47
  6. Step 6: Final answer
    x = 8,471.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.