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Finding the Fourth Proportional to 20,135, 30,206.82 and 7,823

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Solution

The fourth proportional to 20,135, 30,206.82 and 7,823 is: 11,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135 : 30,206.82 = 7,823 : x
  2. Step 2: Convert to fraction form
    20,135/30,206.82 = 7,823/x
  3. Step 3: Cross multiply
    20,135x = 30,206.82 × 7,823
  4. Step 4: Simplify right side
    20,135x = 236,307,952.86
  5. Step 5: Solve for x
    x = 236,307,952.86/20,135
  6. Step 6: Final answer
    x = 11,736.18

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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.