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Finding the Fourth Proportional to 22,149.80, 30,566.82 and 13,201.80

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Solution

The fourth proportional to 22,149.80, 30,566.82 and 13,201.80 is: 18,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.80 : 30,566.82 = 13,201.80 : x
  2. Step 2: Convert to fraction form
    22,149.80/30,566.82 = 13,201.80/x
  3. Step 3: Cross multiply
    22,149.80x = 30,566.82 × 13,201.80
  4. Step 4: Simplify right side
    22,149.80x = 403,537,044.28
  5. Step 5: Solve for x
    x = 403,537,044.28/22,149.80
  6. Step 6: Final answer
    x = 18,218.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.