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Finding the Fourth Proportional to 22,327.74, 33,492.42 and 6,745.50

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Solution

The fourth proportional to 22,327.74, 33,492.42 and 6,745.50 is: 10,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327.74 : 33,492.42 = 6,745.50 : x
  2. Step 2: Convert to fraction form
    22,327.74/33,492.42 = 6,745.50/x
  3. Step 3: Cross multiply
    22,327.74x = 33,492.42 × 6,745.50
  4. Step 4: Simplify right side
    22,327.74x = 225,923,119.11
  5. Step 5: Solve for x
    x = 225,923,119.11/22,327.74
  6. Step 6: Final answer
    x = 10,118.49

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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.