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Finding the Fourth Proportional to 20,119.86, 27,763.16 and 11,167.74

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Solution

The fourth proportional to 20,119.86, 27,763.16 and 11,167.74 is: 15,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.86 : 27,763.16 = 11,167.74 : x
  2. Step 2: Convert to fraction form
    20,119.86/27,763.16 = 11,167.74/x
  3. Step 3: Cross multiply
    20,119.86x = 27,763.16 × 11,167.74
  4. Step 4: Simplify right side
    20,119.86x = 310,051,696.62
  5. Step 5: Solve for x
    x = 310,051,696.62/20,119.86
  6. Step 6: Final answer
    x = 15,410.23

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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.