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Finding the Fourth Proportional to 22,024.50, 33,038.84 and 7,233.49

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Solution

The fourth proportional to 22,024.50, 33,038.84 and 7,233.49 is: 10,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.50 : 33,038.84 = 7,233.49 : x
  2. Step 2: Convert to fraction form
    22,024.50/33,038.84 = 7,233.49/x
  3. Step 3: Cross multiply
    22,024.50x = 33,038.84 × 7,233.49
  4. Step 4: Simplify right side
    22,024.50x = 238,986,118.75
  5. Step 5: Solve for x
    x = 238,986,118.75/22,024.50
  6. Step 6: Final answer
    x = 10,850.92

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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.