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Finding the Fourth Proportional to 20,137.60, 27,790.16 and 11,185.68

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Solution

The fourth proportional to 20,137.60, 27,790.16 and 11,185.68 is: 15,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.60 : 27,790.16 = 11,185.68 : x
  2. Step 2: Convert to fraction form
    20,137.60/27,790.16 = 11,185.68/x
  3. Step 3: Cross multiply
    20,137.60x = 27,790.16 × 11,185.68
  4. Step 4: Simplify right side
    20,137.60x = 310,851,836.91
  5. Step 5: Solve for x
    x = 310,851,836.91/20,137.60
  6. Step 6: Final answer
    x = 15,436.39

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Why These Related Problems?

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