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Finding the Fourth Proportional to 20,119.69, 27,763.86 and 11,166.76

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Solution

The fourth proportional to 20,119.69, 27,763.86 and 11,166.76 is: 15,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.69 : 27,763.86 = 11,166.76 : x
  2. Step 2: Convert to fraction form
    20,119.69/27,763.86 = 11,166.76/x
  3. Step 3: Cross multiply
    20,119.69x = 27,763.86 × 11,166.76
  4. Step 4: Simplify right side
    20,119.69x = 310,032,361.29
  5. Step 5: Solve for x
    x = 310,032,361.29/20,119.69
  6. Step 6: Final answer
    x = 15,409.40

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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.