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Finding the Fourth Proportional to 24,716.13, 37,080.09 and 8,076.21

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Solution

The fourth proportional to 24,716.13, 37,080.09 and 8,076.21 is: 12,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.13 : 37,080.09 = 8,076.21 : x
  2. Step 2: Convert to fraction form
    24,716.13/37,080.09 = 8,076.21/x
  3. Step 3: Cross multiply
    24,716.13x = 37,080.09 × 8,076.21
  4. Step 4: Simplify right side
    24,716.13x = 299,466,593.66
  5. Step 5: Solve for x
    x = 299,466,593.66/24,716.13
  6. Step 6: Final answer
    x = 12,116.24

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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.