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Finding the Fourth Proportional to 22,542.22, 33,806.72 and 8,492.11

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Solution

The fourth proportional to 22,542.22, 33,806.72 and 8,492.11 is: 12,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.22 : 33,806.72 = 8,492.11 : x
  2. Step 2: Convert to fraction form
    22,542.22/33,806.72 = 8,492.11/x
  3. Step 3: Cross multiply
    22,542.22x = 33,806.72 × 8,492.11
  4. Step 4: Simplify right side
    22,542.22x = 287,090,448.47
  5. Step 5: Solve for x
    x = 287,090,448.47/22,542.22
  6. Step 6: Final answer
    x = 12,735.68

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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.