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Finding the Fourth Proportional to 20,147.16, 27,802.53 and 11,194.43

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Solution

The fourth proportional to 20,147.16, 27,802.53 and 11,194.43 is: 15,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.16 : 27,802.53 = 11,194.43 : x
  2. Step 2: Convert to fraction form
    20,147.16/27,802.53 = 11,194.43/x
  3. Step 3: Cross multiply
    20,147.16x = 27,802.53 × 11,194.43
  4. Step 4: Simplify right side
    20,147.16x = 311,233,406.96
  5. Step 5: Solve for x
    x = 311,233,406.96/20,147.16
  6. Step 6: Final answer
    x = 15,448.01

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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.