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Finding the Fourth Proportional to 19,806.09, 29,714.01 and 5,766.24

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Solution

The fourth proportional to 19,806.09, 29,714.01 and 5,766.24 is: 8,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.09 : 29,714.01 = 5,766.24 : x
  2. Step 2: Convert to fraction form
    19,806.09/29,714.01 = 5,766.24/x
  3. Step 3: Cross multiply
    19,806.09x = 29,714.01 × 5,766.24
  4. Step 4: Simplify right side
    19,806.09x = 171,338,272.37
  5. Step 5: Solve for x
    x = 171,338,272.37/19,806.09
  6. Step 6: Final answer
    x = 8,650.79

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Why These Related Problems?

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