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Finding the Fourth Proportional to 22,542.92, 33,820.14 and 13,190.80

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Solution

The fourth proportional to 22,542.92, 33,820.14 and 13,190.80 is: 19,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.92 : 33,820.14 = 13,190.80 : x
  2. Step 2: Convert to fraction form
    22,542.92/33,820.14 = 13,190.80/x
  3. Step 3: Cross multiply
    22,542.92x = 33,820.14 × 13,190.80
  4. Step 4: Simplify right side
    22,542.92x = 446,114,702.71
  5. Step 5: Solve for x
    x = 446,114,702.71/22,542.92
  6. Step 6: Final answer
    x = 19,789.57

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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.