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Finding the Fourth Proportional to 20,990.10, 31,496.22 and 9,304.50

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Solution

The fourth proportional to 20,990.10, 31,496.22 and 9,304.50 is: 13,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.10 : 31,496.22 = 9,304.50 : x
  2. Step 2: Convert to fraction form
    20,990.10/31,496.22 = 9,304.50/x
  3. Step 3: Cross multiply
    20,990.10x = 31,496.22 × 9,304.50
  4. Step 4: Simplify right side
    20,990.10x = 293,056,578.99
  5. Step 5: Solve for x
    x = 293,056,578.99/20,990.10
  6. Step 6: Final answer
    x = 13,961.66

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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.