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Finding the Fourth Proportional to 20,643.60, 30,965.67 and 8,158.26

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Solution

The fourth proportional to 20,643.60, 30,965.67 and 8,158.26 is: 12,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.60 : 30,965.67 = 8,158.26 : x
  2. Step 2: Convert to fraction form
    20,643.60/30,965.67 = 8,158.26/x
  3. Step 3: Cross multiply
    20,643.60x = 30,965.67 × 8,158.26
  4. Step 4: Simplify right side
    20,643.60x = 252,625,986.93
  5. Step 5: Solve for x
    x = 252,625,986.93/20,643.60
  6. Step 6: Final answer
    x = 12,237.50

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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.