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Finding the Fourth Proportional to 25,982.62, 38,977.37 and 8,446.50

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Solution

The fourth proportional to 25,982.62, 38,977.37 and 8,446.50 is: 12,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.62 : 38,977.37 = 8,446.50 : x
  2. Step 2: Convert to fraction form
    25,982.62/38,977.37 = 8,446.50/x
  3. Step 3: Cross multiply
    25,982.62x = 38,977.37 × 8,446.50
  4. Step 4: Simplify right side
    25,982.62x = 329,222,355.71
  5. Step 5: Solve for x
    x = 329,222,355.71/25,982.62
  6. Step 6: Final answer
    x = 12,670.87

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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.