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Finding the Fourth Proportional to 20,078.58, 27,731.16 and 13,694.28

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Solution

The fourth proportional to 20,078.58, 27,731.16 and 13,694.28 is: 18,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.58 : 27,731.16 = 13,694.28 : x
  2. Step 2: Convert to fraction form
    20,078.58/27,731.16 = 13,694.28/x
  3. Step 3: Cross multiply
    20,078.58x = 27,731.16 × 13,694.28
  4. Step 4: Simplify right side
    20,078.58x = 379,758,269.76
  5. Step 5: Solve for x
    x = 379,758,269.76/20,078.58
  6. Step 6: Final answer
    x = 18,913.60

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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.