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Finding the Fourth Proportional to 19,635.62, 27,097.62 and 11,138.31

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Solution

The fourth proportional to 19,635.62, 27,097.62 and 11,138.31 is: 15,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.62 : 27,097.62 = 11,138.31 : x
  2. Step 2: Convert to fraction form
    19,635.62/27,097.62 = 11,138.31/x
  3. Step 3: Cross multiply
    19,635.62x = 27,097.62 × 11,138.31
  4. Step 4: Simplify right side
    19,635.62x = 301,821,691.82
  5. Step 5: Solve for x
    x = 301,821,691.82/19,635.62
  6. Step 6: Final answer
    x = 15,371.14

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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.