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Finding the Fourth Proportional to 20,393.46, 30,569.51 and 13,820.30

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Solution

The fourth proportional to 20,393.46, 30,569.51 and 13,820.30 is: 20,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.46 : 30,569.51 = 13,820.30 : x
  2. Step 2: Convert to fraction form
    20,393.46/30,569.51 = 13,820.30/x
  3. Step 3: Cross multiply
    20,393.46x = 30,569.51 × 13,820.30
  4. Step 4: Simplify right side
    20,393.46x = 422,479,799.05
  5. Step 5: Solve for x
    x = 422,479,799.05/20,393.46
  6. Step 6: Final answer
    x = 20,716.44

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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.