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Finding the Fourth Proportional to 24,755.80, 37,139.46 and 8,114.80

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Solution

The fourth proportional to 24,755.80, 37,139.46 and 8,114.80 is: 12,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.80 : 37,139.46 = 8,114.80 : x
  2. Step 2: Convert to fraction form
    24,755.80/37,139.46 = 8,114.80/x
  3. Step 3: Cross multiply
    24,755.80x = 37,139.46 × 8,114.80
  4. Step 4: Simplify right side
    24,755.80x = 301,379,290.01
  5. Step 5: Solve for x
    x = 301,379,290.01/24,755.80
  6. Step 6: Final answer
    x = 12,174.09

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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.