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Finding the Fourth Proportional to 20,859.50, 31,276.63 and 8,194.10

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Solution

The fourth proportional to 20,859.50, 31,276.63 and 8,194.10 is: 12,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.50 : 31,276.63 = 8,194.10 : x
  2. Step 2: Convert to fraction form
    20,859.50/31,276.63 = 8,194.10/x
  3. Step 3: Cross multiply
    20,859.50x = 31,276.63 × 8,194.10
  4. Step 4: Simplify right side
    20,859.50x = 256,283,703.11
  5. Step 5: Solve for x
    x = 256,283,703.11/20,859.50
  6. Step 6: Final answer
    x = 12,286.19

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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.