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Finding the Fourth Proportional to 20,101.70, 27,738.52 and 11,149.18

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Solution

The fourth proportional to 20,101.70, 27,738.52 and 11,149.18 is: 15,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.70 : 27,738.52 = 11,149.18 : x
  2. Step 2: Convert to fraction form
    20,101.70/27,738.52 = 11,149.18/x
  3. Step 3: Cross multiply
    20,101.70x = 27,738.52 × 11,149.18
  4. Step 4: Simplify right side
    20,101.70x = 309,261,752.41
  5. Step 5: Solve for x
    x = 309,261,752.41/20,101.70
  6. Step 6: Final answer
    x = 15,384.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.