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Finding the Fourth Proportional to 22,137.48, 33,206.16 and 6,553.80

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Solution

The fourth proportional to 22,137.48, 33,206.16 and 6,553.80 is: 9,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,137.48 : 33,206.16 = 6,553.80 : x
  2. Step 2: Convert to fraction form
    22,137.48/33,206.16 = 6,553.80/x
  3. Step 3: Cross multiply
    22,137.48x = 33,206.16 × 6,553.80
  4. Step 4: Simplify right side
    22,137.48x = 217,626,531.41
  5. Step 5: Solve for x
    x = 217,626,531.41/22,137.48
  6. Step 6: Final answer
    x = 9,830.68

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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.