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Finding the Fourth Proportional to 22,176.50, 33,287.34 and 11,091.20

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Solution

The fourth proportional to 22,176.50, 33,287.34 and 11,091.20 is: 16,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176.50 : 33,287.34 = 11,091.20 : x
  2. Step 2: Convert to fraction form
    22,176.50/33,287.34 = 11,091.20/x
  3. Step 3: Cross multiply
    22,176.50x = 33,287.34 × 11,091.20
  4. Step 4: Simplify right side
    22,176.50x = 369,196,545.41
  5. Step 5: Solve for x
    x = 369,196,545.41/22,176.50
  6. Step 6: Final answer
    x = 16,648.10

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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.