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Finding the Fourth Proportional to 20,137.80, 27,788.98 and 11,184.78

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Solution

The fourth proportional to 20,137.80, 27,788.98 and 11,184.78 is: 15,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.80 : 27,788.98 = 11,184.78 : x
  2. Step 2: Convert to fraction form
    20,137.80/27,788.98 = 11,184.78/x
  3. Step 3: Cross multiply
    20,137.80x = 27,788.98 × 11,184.78
  4. Step 4: Simplify right side
    20,137.80x = 310,813,627.72
  5. Step 5: Solve for x
    x = 310,813,627.72/20,137.80
  6. Step 6: Final answer
    x = 15,434.34

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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.