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Finding the Fourth Proportional to 24,716.35, 37,080.86 and 7,186.19

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Solution

The fourth proportional to 24,716.35, 37,080.86 and 7,186.19 is: 10,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.35 : 37,080.86 = 7,186.19 : x
  2. Step 2: Convert to fraction form
    24,716.35/37,080.86 = 7,186.19/x
  3. Step 3: Cross multiply
    24,716.35x = 37,080.86 × 7,186.19
  4. Step 4: Simplify right side
    24,716.35x = 266,469,883.99
  5. Step 5: Solve for x
    x = 266,469,883.99/24,716.35
  6. Step 6: Final answer
    x = 10,781.12

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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.