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Finding the Fourth Proportional to 20,538.76, 30,862.80 and 11,185.68

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Solution

The fourth proportional to 20,538.76, 30,862.80 and 11,185.68 is: 16,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.76 : 30,862.80 = 11,185.68 : x
  2. Step 2: Convert to fraction form
    20,538.76/30,862.80 = 11,185.68/x
  3. Step 3: Cross multiply
    20,538.76x = 30,862.80 × 11,185.68
  4. Step 4: Simplify right side
    20,538.76x = 345,221,404.70
  5. Step 5: Solve for x
    x = 345,221,404.70/20,538.76
  6. Step 6: Final answer
    x = 16,808.29

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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.