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Finding the Fourth Proportional to 20,147.13, 27,802.80 and 11,194.29

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Solution

The fourth proportional to 20,147.13, 27,802.80 and 11,194.29 is: 15,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.13 : 27,802.80 = 11,194.29 : x
  2. Step 2: Convert to fraction form
    20,147.13/27,802.80 = 11,194.29/x
  3. Step 3: Cross multiply
    20,147.13x = 27,802.80 × 11,194.29
  4. Step 4: Simplify right side
    20,147.13x = 311,232,606.01
  5. Step 5: Solve for x
    x = 311,232,606.01/20,147.13
  6. Step 6: Final answer
    x = 15,447.99

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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.