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Finding the Fourth Proportional to 15,814.14, 21,819.92 and 9,442.79

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Solution

The fourth proportional to 15,814.14, 21,819.92 and 9,442.79 is: 13,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.14 : 21,819.92 = 9,442.79 : x
  2. Step 2: Convert to fraction form
    15,814.14/21,819.92 = 9,442.79/x
  3. Step 3: Cross multiply
    15,814.14x = 21,819.92 × 9,442.79
  4. Step 4: Simplify right side
    15,814.14x = 206,040,970.62
  5. Step 5: Solve for x
    x = 206,040,970.62/15,814.14
  6. Step 6: Final answer
    x = 13,028.91

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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.