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Finding the Fourth Proportional to 20,196, 30,295.22 and 6,345

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Solution

The fourth proportional to 20,196, 30,295.22 and 6,345 is: 9,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 30,295.22 = 6,345 : x
  2. Step 2: Convert to fraction form
    20,196/30,295.22 = 6,345/x
  3. Step 3: Cross multiply
    20,196x = 30,295.22 × 6,345
  4. Step 4: Simplify right side
    20,196x = 192,223,139.18
  5. Step 5: Solve for x
    x = 192,223,139.18/20,196
  6. Step 6: Final answer
    x = 9,517.88

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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.