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Finding the Fourth Proportional to 22,681.50, 34,022.25 and 8,840.22

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Solution

The fourth proportional to 22,681.50, 34,022.25 and 8,840.22 is: 13,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.50 : 34,022.25 = 8,840.22 : x
  2. Step 2: Convert to fraction form
    22,681.50/34,022.25 = 8,840.22/x
  3. Step 3: Cross multiply
    22,681.50x = 34,022.25 × 8,840.22
  4. Step 4: Simplify right side
    22,681.50x = 300,764,174.90
  5. Step 5: Solve for x
    x = 300,764,174.90/22,681.50
  6. Step 6: Final answer
    x = 13,260.33

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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.