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Finding the Fourth Proportional to 19,806.25, 29,714.03 and 5,766.58

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Solution

The fourth proportional to 19,806.25, 29,714.03 and 5,766.58 is: 8,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.25 : 29,714.03 = 5,766.58 : x
  2. Step 2: Convert to fraction form
    19,806.25/29,714.03 = 5,766.58/x
  3. Step 3: Cross multiply
    19,806.25x = 29,714.03 × 5,766.58
  4. Step 4: Simplify right side
    19,806.25x = 171,348,331.12
  5. Step 5: Solve for x
    x = 171,348,331.12/19,806.25
  6. Step 6: Final answer
    x = 8,651.23

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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.