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Finding the Fourth Proportional to 20,153.41, 27,811.14 and 11,200.48

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Solution

The fourth proportional to 20,153.41, 27,811.14 and 11,200.48 is: 15,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.41 : 27,811.14 = 11,200.48 : x
  2. Step 2: Convert to fraction form
    20,153.41/27,811.14 = 11,200.48/x
  3. Step 3: Cross multiply
    20,153.41x = 27,811.14 × 11,200.48
  4. Step 4: Simplify right side
    20,153.41x = 311,498,117.35
  5. Step 5: Solve for x
    x = 311,498,117.35/20,153.41
  6. Step 6: Final answer
    x = 15,456.35

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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.