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Finding the Fourth Proportional to 20,512.34, 30,824.10 and 11,159.27

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Solution

The fourth proportional to 20,512.34, 30,824.10 and 11,159.27 is: 16,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.34 : 30,824.10 = 11,159.27 : x
  2. Step 2: Convert to fraction form
    20,512.34/30,824.10 = 11,159.27/x
  3. Step 3: Cross multiply
    20,512.34x = 30,824.10 × 11,159.27
  4. Step 4: Simplify right side
    20,512.34x = 343,974,454.41
  5. Step 5: Solve for x
    x = 343,974,454.41/20,512.34
  6. Step 6: Final answer
    x = 16,769.15

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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.