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Finding the Fourth Proportional to 24,830.26, 37,191.87 and 11,662.90

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Solution

The fourth proportional to 24,830.26, 37,191.87 and 11,662.90 is: 17,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.26 : 37,191.87 = 11,662.90 : x
  2. Step 2: Convert to fraction form
    24,830.26/37,191.87 = 11,662.90/x
  3. Step 3: Cross multiply
    24,830.26x = 37,191.87 × 11,662.90
  4. Step 4: Simplify right side
    24,830.26x = 433,765,060.62
  5. Step 5: Solve for x
    x = 433,765,060.62/24,830.26
  6. Step 6: Final answer
    x = 17,469.21

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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.