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Finding the Fourth Proportional to 20,122.90, 27,769.91 and 11,170.98

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Solution

The fourth proportional to 20,122.90, 27,769.91 and 11,170.98 is: 15,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.90 : 27,769.91 = 11,170.98 : x
  2. Step 2: Convert to fraction form
    20,122.90/27,769.91 = 11,170.98/x
  3. Step 3: Cross multiply
    20,122.90x = 27,769.91 × 11,170.98
  4. Step 4: Simplify right side
    20,122.90x = 310,217,109.21
  5. Step 5: Solve for x
    x = 310,217,109.21/20,122.90
  6. Step 6: Final answer
    x = 15,416.12

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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.