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Finding the Fourth Proportional to 22,176.50, 33,266.16 and 9,021.68

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Solution

The fourth proportional to 22,176.50, 33,266.16 and 9,021.68 is: 13,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176.50 : 33,266.16 = 9,021.68 : x
  2. Step 2: Convert to fraction form
    22,176.50/33,266.16 = 9,021.68/x
  3. Step 3: Cross multiply
    22,176.50x = 33,266.16 × 9,021.68
  4. Step 4: Simplify right side
    22,176.50x = 300,116,650.35
  5. Step 5: Solve for x
    x = 300,116,650.35/22,176.50
  6. Step 6: Final answer
    x = 13,533.09

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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.