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Finding the Fourth Proportional to 20,196, 30,296.76 and 7,046.44

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Solution

The fourth proportional to 20,196, 30,296.76 and 7,046.44 is: 10,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 30,296.76 = 7,046.44 : x
  2. Step 2: Convert to fraction form
    20,196/30,296.76 = 7,046.44/x
  3. Step 3: Cross multiply
    20,196x = 30,296.76 × 7,046.44
  4. Step 4: Simplify right side
    20,196x = 213,484,301.53
  5. Step 5: Solve for x
    x = 213,484,301.53/20,196
  6. Step 6: Final answer
    x = 10,570.62

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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.