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Finding the Fourth Proportional to 20,611, 30,891.16 and 9,502.28

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Solution

The fourth proportional to 20,611, 30,891.16 and 9,502.28 is: 14,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,611 : 30,891.16 = 9,502.28 : x
  2. Step 2: Convert to fraction form
    20,611/30,891.16 = 9,502.28/x
  3. Step 3: Cross multiply
    20,611x = 30,891.16 × 9,502.28
  4. Step 4: Simplify right side
    20,611x = 293,536,451.84
  5. Step 5: Solve for x
    x = 293,536,451.84/20,611
  6. Step 6: Final answer
    x = 14,241.74

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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.