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Finding the Fourth Proportional to 20,489.29, 30,714.32 and 8,005.16

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Solution

The fourth proportional to 20,489.29, 30,714.32 and 8,005.16 is: 12,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.29 : 30,714.32 = 8,005.16 : x
  2. Step 2: Convert to fraction form
    20,489.29/30,714.32 = 8,005.16/x
  3. Step 3: Cross multiply
    20,489.29x = 30,714.32 × 8,005.16
  4. Step 4: Simplify right side
    20,489.29x = 245,873,142.69
  5. Step 5: Solve for x
    x = 245,873,142.69/20,489.29
  6. Step 6: Final answer
    x = 12,000.08

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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.