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Finding the Fourth Proportional to 20,167.75, 27,829.90 and 11,214.70

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Solution

The fourth proportional to 20,167.75, 27,829.90 and 11,214.70 is: 15,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.75 : 27,829.90 = 11,214.70 : x
  2. Step 2: Convert to fraction form
    20,167.75/27,829.90 = 11,214.70/x
  3. Step 3: Cross multiply
    20,167.75x = 27,829.90 × 11,214.70
  4. Step 4: Simplify right side
    20,167.75x = 312,103,979.53
  5. Step 5: Solve for x
    x = 312,103,979.53/20,167.75
  6. Step 6: Final answer
    x = 15,475.40

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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.