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Finding the Fourth Proportional to 22,242.99, 33,374.25 and 8,388.75

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Solution

The fourth proportional to 22,242.99, 33,374.25 and 8,388.75 is: 12,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242.99 : 33,374.25 = 8,388.75 : x
  2. Step 2: Convert to fraction form
    22,242.99/33,374.25 = 8,388.75/x
  3. Step 3: Cross multiply
    22,242.99x = 33,374.25 × 8,388.75
  4. Step 4: Simplify right side
    22,242.99x = 279,968,239.69
  5. Step 5: Solve for x
    x = 279,968,239.69/22,242.99
  6. Step 6: Final answer
    x = 12,586.81

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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.