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Finding the Fourth Proportional to 22,061.92, 33,101.52 and 8,212

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Solution

The fourth proportional to 22,061.92, 33,101.52 and 8,212 is: 12,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,061.92 : 33,101.52 = 8,212 : x
  2. Step 2: Convert to fraction form
    22,061.92/33,101.52 = 8,212/x
  3. Step 3: Cross multiply
    22,061.92x = 33,101.52 × 8,212
  4. Step 4: Simplify right side
    22,061.92x = 271,829,682.24
  5. Step 5: Solve for x
    x = 271,829,682.24/22,061.92
  6. Step 6: Final answer
    x = 12,321.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.