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Finding the Fourth Proportional to 25,219.21, 37,834.89 and 7,687.96

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Solution

The fourth proportional to 25,219.21, 37,834.89 and 7,687.96 is: 11,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.21 : 37,834.89 = 7,687.96 : x
  2. Step 2: Convert to fraction form
    25,219.21/37,834.89 = 7,687.96/x
  3. Step 3: Cross multiply
    25,219.21x = 37,834.89 × 7,687.96
  4. Step 4: Simplify right side
    25,219.21x = 290,873,120.92
  5. Step 5: Solve for x
    x = 290,873,120.92/25,219.21
  6. Step 6: Final answer
    x = 11,533.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.