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Finding the Fourth Proportional to 20,098.36, 27,735.74 and 11,147.23

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Solution

The fourth proportional to 20,098.36, 27,735.74 and 11,147.23 is: 15,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.36 : 27,735.74 = 11,147.23 : x
  2. Step 2: Convert to fraction form
    20,098.36/27,735.74 = 11,147.23/x
  3. Step 3: Cross multiply
    20,098.36x = 27,735.74 × 11,147.23
  4. Step 4: Simplify right side
    20,098.36x = 309,176,547.92
  5. Step 5: Solve for x
    x = 309,176,547.92/20,098.36
  6. Step 6: Final answer
    x = 15,383.17

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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.