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Finding the Fourth Proportional to 25,249.94, 37,874.91 and 9,667.56

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Solution

The fourth proportional to 25,249.94, 37,874.91 and 9,667.56 is: 14,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,249.94 : 37,874.91 = 9,667.56 : x
  2. Step 2: Convert to fraction form
    25,249.94/37,874.91 = 9,667.56/x
  3. Step 3: Cross multiply
    25,249.94x = 37,874.91 × 9,667.56
  4. Step 4: Simplify right side
    25,249.94x = 366,157,964.92
  5. Step 5: Solve for x
    x = 366,157,964.92/25,249.94
  6. Step 6: Final answer
    x = 14,501.34

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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.