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Finding the Fourth Proportional to 20,858.49, 31,296.38 and 8,387.35

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Solution

The fourth proportional to 20,858.49, 31,296.38 and 8,387.35 is: 12,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.49 : 31,296.38 = 8,387.35 : x
  2. Step 2: Convert to fraction form
    20,858.49/31,296.38 = 8,387.35/x
  3. Step 3: Cross multiply
    20,858.49x = 31,296.38 × 8,387.35
  4. Step 4: Simplify right side
    20,858.49x = 262,493,572.62
  5. Step 5: Solve for x
    x = 262,493,572.62/20,858.49
  6. Step 6: Final answer
    x = 12,584.50

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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.