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Finding the Fourth Proportional to 24,131.67, 36,202.98 and 8,549.30

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Solution

The fourth proportional to 24,131.67, 36,202.98 and 8,549.30 is: 12,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.67 : 36,202.98 = 8,549.30 : x
  2. Step 2: Convert to fraction form
    24,131.67/36,202.98 = 8,549.30/x
  3. Step 3: Cross multiply
    24,131.67x = 36,202.98 × 8,549.30
  4. Step 4: Simplify right side
    24,131.67x = 309,509,983.70
  5. Step 5: Solve for x
    x = 309,509,983.70/24,131.67
  6. Step 6: Final answer
    x = 12,825.88

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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.