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Finding the Fourth Proportional to 24,716.84, 37,080.02 and 8,072.39

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Solution

The fourth proportional to 24,716.84, 37,080.02 and 8,072.39 is: 12,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.84 : 37,080.02 = 8,072.39 : x
  2. Step 2: Convert to fraction form
    24,716.84/37,080.02 = 8,072.39/x
  3. Step 3: Cross multiply
    24,716.84x = 37,080.02 × 8,072.39
  4. Step 4: Simplify right side
    24,716.84x = 299,324,495.53
  5. Step 5: Solve for x
    x = 299,324,495.53/24,716.84
  6. Step 6: Final answer
    x = 12,110.15

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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.