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Finding the Fourth Proportional to 20,389.46, 30,575.99 and 6,344.83

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Solution

The fourth proportional to 20,389.46, 30,575.99 and 6,344.83 is: 9,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.46 : 30,575.99 = 6,344.83 : x
  2. Step 2: Convert to fraction form
    20,389.46/30,575.99 = 6,344.83/x
  3. Step 3: Cross multiply
    20,389.46x = 30,575.99 × 6,344.83
  4. Step 4: Simplify right side
    20,389.46x = 193,999,458.63
  5. Step 5: Solve for x
    x = 193,999,458.63/20,389.46
  6. Step 6: Final answer
    x = 9,514.69

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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.