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Finding the Fourth Proportional to 20,655.60, 30,983.67 and 8,170.26

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Solution

The fourth proportional to 20,655.60, 30,983.67 and 8,170.26 is: 12,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.60 : 30,983.67 = 8,170.26 : x
  2. Step 2: Convert to fraction form
    20,655.60/30,983.67 = 8,170.26/x
  3. Step 3: Cross multiply
    20,655.60x = 30,983.67 × 8,170.26
  4. Step 4: Simplify right side
    20,655.60x = 253,144,639.65
  5. Step 5: Solve for x
    x = 253,144,639.65/20,655.60
  6. Step 6: Final answer
    x = 12,255.50

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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.