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Finding the Fourth Proportional to 22,327.88, 33,491.80 and 9,171

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Solution

The fourth proportional to 22,327.88, 33,491.80 and 9,171 is: 13,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327.88 : 33,491.80 = 9,171 : x
  2. Step 2: Convert to fraction form
    22,327.88/33,491.80 = 9,171/x
  3. Step 3: Cross multiply
    22,327.88x = 33,491.80 × 9,171
  4. Step 4: Simplify right side
    22,327.88x = 307,153,297.80
  5. Step 5: Solve for x
    x = 307,153,297.80/22,327.88
  6. Step 6: Final answer
    x = 13,756.49

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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.