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Finding the Fourth Proportional to 19,771.72, 27,284.94 and 10,819.19

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Solution

The fourth proportional to 19,771.72, 27,284.94 and 10,819.19 is: 14,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.72 : 27,284.94 = 10,819.19 : x
  2. Step 2: Convert to fraction form
    19,771.72/27,284.94 = 10,819.19/x
  3. Step 3: Cross multiply
    19,771.72x = 27,284.94 × 10,819.19
  4. Step 4: Simplify right side
    19,771.72x = 295,201,018.21
  5. Step 5: Solve for x
    x = 295,201,018.21/19,771.72
  6. Step 6: Final answer
    x = 14,930.47

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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.