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Finding the Fourth Proportional to 20,167.14, 27,830.52 and 11,214.57

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Solution

The fourth proportional to 20,167.14, 27,830.52 and 11,214.57 is: 15,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.14 : 27,830.52 = 11,214.57 : x
  2. Step 2: Convert to fraction form
    20,167.14/27,830.52 = 11,214.57/x
  3. Step 3: Cross multiply
    20,167.14x = 27,830.52 × 11,214.57
  4. Step 4: Simplify right side
    20,167.14x = 312,107,314.68
  5. Step 5: Solve for x
    x = 312,107,314.68/20,167.14
  6. Step 6: Final answer
    x = 15,476.03

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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.