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Finding the Fourth Proportional to 22,014.02, 33,023.73 and 7,224.41

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Solution

The fourth proportional to 22,014.02, 33,023.73 and 7,224.41 is: 10,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.02 : 33,023.73 = 7,224.41 : x
  2. Step 2: Convert to fraction form
    22,014.02/33,023.73 = 7,224.41/x
  3. Step 3: Cross multiply
    22,014.02x = 33,023.73 × 7,224.41
  4. Step 4: Simplify right side
    22,014.02x = 238,576,965.25
  5. Step 5: Solve for x
    x = 238,576,965.25/22,014.02
  6. Step 6: Final answer
    x = 10,837.50

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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.