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Finding the Fourth Proportional to 19,883.14, 27,438.60 and 10,930.42

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Solution

The fourth proportional to 19,883.14, 27,438.60 and 10,930.42 is: 15,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.14 : 27,438.60 = 10,930.42 : x
  2. Step 2: Convert to fraction form
    19,883.14/27,438.60 = 10,930.42/x
  3. Step 3: Cross multiply
    19,883.14x = 27,438.60 × 10,930.42
  4. Step 4: Simplify right side
    19,883.14x = 299,915,422.21
  5. Step 5: Solve for x
    x = 299,915,422.21/19,883.14
  6. Step 6: Final answer
    x = 15,083.91

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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.