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Finding the Fourth Proportional to 22,543.10, 33,821.12 and 6,749.31

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Solution

The fourth proportional to 22,543.10, 33,821.12 and 6,749.31 is: 10,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.10 : 33,821.12 = 6,749.31 : x
  2. Step 2: Convert to fraction form
    22,543.10/33,821.12 = 6,749.31/x
  3. Step 3: Cross multiply
    22,543.10x = 33,821.12 × 6,749.31
  4. Step 4: Simplify right side
    22,543.10x = 228,269,189.68
  5. Step 5: Solve for x
    x = 228,269,189.68/22,543.10
  6. Step 6: Final answer
    x = 10,125.90

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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.