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Finding the Fourth Proportional to 20,131.53, 27,782.81 and 11,179

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Solution

The fourth proportional to 20,131.53, 27,782.81 and 11,179 is: 15,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.53 : 27,782.81 = 11,179 : x
  2. Step 2: Convert to fraction form
    20,131.53/27,782.81 = 11,179/x
  3. Step 3: Cross multiply
    20,131.53x = 27,782.81 × 11,179
  4. Step 4: Simplify right side
    20,131.53x = 310,584,032.99
  5. Step 5: Solve for x
    x = 310,584,032.99/20,131.53
  6. Step 6: Final answer
    x = 15,427.74

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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.