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Finding the Fourth Proportional to 19,823.22, 29,714.45 and 8,727.84

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Solution

The fourth proportional to 19,823.22, 29,714.45 and 8,727.84 is: 13,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.22 : 29,714.45 = 8,727.84 : x
  2. Step 2: Convert to fraction form
    19,823.22/29,714.45 = 8,727.84/x
  3. Step 3: Cross multiply
    19,823.22x = 29,714.45 × 8,727.84
  4. Step 4: Simplify right side
    19,823.22x = 259,342,921.65
  5. Step 5: Solve for x
    x = 259,342,921.65/19,823.22
  6. Step 6: Final answer
    x = 13,082.78

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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.