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Finding the Fourth Proportional to 20,198.40, 30,265.20 and 13,264.80

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Solution

The fourth proportional to 20,198.40, 30,265.20 and 13,264.80 is: 19,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.40 : 30,265.20 = 13,264.80 : x
  2. Step 2: Convert to fraction form
    20,198.40/30,265.20 = 13,264.80/x
  3. Step 3: Cross multiply
    20,198.40x = 30,265.20 × 13,264.80
  4. Step 4: Simplify right side
    20,198.40x = 401,461,824.96
  5. Step 5: Solve for x
    x = 401,461,824.96/20,198.40
  6. Step 6: Final answer
    x = 19,875.92

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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.