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Finding the Fourth Proportional to 20,132.69, 27,782.16 and 11,180.75

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Solution

The fourth proportional to 20,132.69, 27,782.16 and 11,180.75 is: 15,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.69 : 27,782.16 = 11,180.75 : x
  2. Step 2: Convert to fraction form
    20,132.69/27,782.16 = 11,180.75/x
  3. Step 3: Cross multiply
    20,132.69x = 27,782.16 × 11,180.75
  4. Step 4: Simplify right side
    20,132.69x = 310,625,246.51
  5. Step 5: Solve for x
    x = 310,625,246.51/20,132.69
  6. Step 6: Final answer
    x = 15,428.90

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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.