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Finding the Fourth Proportional to 22,909.24, 34,363.22 and 7,327.80

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Solution

The fourth proportional to 22,909.24, 34,363.22 and 7,327.80 is: 10,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.24 : 34,363.22 = 7,327.80 : x
  2. Step 2: Convert to fraction form
    22,909.24/34,363.22 = 7,327.80/x
  3. Step 3: Cross multiply
    22,909.24x = 34,363.22 × 7,327.80
  4. Step 4: Simplify right side
    22,909.24x = 251,806,803.52
  5. Step 5: Solve for x
    x = 251,806,803.52/22,909.24
  6. Step 6: Final answer
    x = 10,991.50

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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.