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Finding the Fourth Proportional to 19,806.72, 29,715.68 and 8,128.32

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Solution

The fourth proportional to 19,806.72, 29,715.68 and 8,128.32 is: 12,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.72 : 29,715.68 = 8,128.32 : x
  2. Step 2: Convert to fraction form
    19,806.72/29,715.68 = 8,128.32/x
  3. Step 3: Cross multiply
    19,806.72x = 29,715.68 × 8,128.32
  4. Step 4: Simplify right side
    19,806.72x = 241,538,556.06
  5. Step 5: Solve for x
    x = 241,538,556.06/19,806.72
  6. Step 6: Final answer
    x = 12,194.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.