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Finding the Fourth Proportional to 24,716.43, 37,080.26 and 8,076.24

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Solution

The fourth proportional to 24,716.43, 37,080.26 and 8,076.24 is: 12,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.43 : 37,080.26 = 8,076.24 : x
  2. Step 2: Convert to fraction form
    24,716.43/37,080.26 = 8,076.24/x
  3. Step 3: Cross multiply
    24,716.43x = 37,080.26 × 8,076.24
  4. Step 4: Simplify right side
    24,716.43x = 299,469,038.64
  5. Step 5: Solve for x
    x = 299,469,038.64/24,716.43
  6. Step 6: Final answer
    x = 12,116.19

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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.