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Finding the Fourth Proportional to 24,736.46, 37,101.08 and 8,097.14

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Solution

The fourth proportional to 24,736.46, 37,101.08 and 8,097.14 is: 12,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736.46 : 37,101.08 = 8,097.14 : x
  2. Step 2: Convert to fraction form
    24,736.46/37,101.08 = 8,097.14/x
  3. Step 3: Cross multiply
    24,736.46x = 37,101.08 × 8,097.14
  4. Step 4: Simplify right side
    24,736.46x = 300,412,751.91
  5. Step 5: Solve for x
    x = 300,412,751.91/24,736.46
  6. Step 6: Final answer
    x = 12,144.54

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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.