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Finding the Fourth Proportional to 20,196.82, 30,295.50 and 11,432.62

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Solution

The fourth proportional to 20,196.82, 30,295.50 and 11,432.62 is: 17,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.82 : 30,295.50 = 11,432.62 : x
  2. Step 2: Convert to fraction form
    20,196.82/30,295.50 = 11,432.62/x
  3. Step 3: Cross multiply
    20,196.82x = 30,295.50 × 11,432.62
  4. Step 4: Simplify right side
    20,196.82x = 346,356,939.21
  5. Step 5: Solve for x
    x = 346,356,939.21/20,196.82
  6. Step 6: Final answer
    x = 17,149.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.