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Finding the Fourth Proportional to 20,191.78, 27,855.09 and 14,226.74

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Solution

The fourth proportional to 20,191.78, 27,855.09 and 14,226.74 is: 19,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.78 : 27,855.09 = 14,226.74 : x
  2. Step 2: Convert to fraction form
    20,191.78/27,855.09 = 14,226.74/x
  3. Step 3: Cross multiply
    20,191.78x = 27,855.09 × 14,226.74
  4. Step 4: Simplify right side
    20,191.78x = 396,287,088.29
  5. Step 5: Solve for x
    x = 396,287,088.29/20,191.78
  6. Step 6: Final answer
    x = 19,626.16

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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.