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Finding the Fourth Proportional to 20,199.10, 27,878.16 and 13,027

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Solution

The fourth proportional to 20,199.10, 27,878.16 and 13,027 is: 17,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.10 : 27,878.16 = 13,027 : x
  2. Step 2: Convert to fraction form
    20,199.10/27,878.16 = 13,027/x
  3. Step 3: Cross multiply
    20,199.10x = 27,878.16 × 13,027
  4. Step 4: Simplify right side
    20,199.10x = 363,168,790.32
  5. Step 5: Solve for x
    x = 363,168,790.32/20,199.10
  6. Step 6: Final answer
    x = 17,979.45

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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.