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Finding the Fourth Proportional to 22,024.48, 33,015.36 and 7,223.20

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Solution

The fourth proportional to 22,024.48, 33,015.36 and 7,223.20 is: 10,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.48 : 33,015.36 = 7,223.20 : x
  2. Step 2: Convert to fraction form
    22,024.48/33,015.36 = 7,223.20/x
  3. Step 3: Cross multiply
    22,024.48x = 33,015.36 × 7,223.20
  4. Step 4: Simplify right side
    22,024.48x = 238,476,548.35
  5. Step 5: Solve for x
    x = 238,476,548.35/22,024.48
  6. Step 6: Final answer
    x = 10,827.79

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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.