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Finding the Fourth Proportional to 20,456.64, 30,685.31 and 6,416.33

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Solution

The fourth proportional to 20,456.64, 30,685.31 and 6,416.33 is: 9,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.64 : 30,685.31 = 6,416.33 : x
  2. Step 2: Convert to fraction form
    20,456.64/30,685.31 = 6,416.33/x
  3. Step 3: Cross multiply
    20,456.64x = 30,685.31 × 6,416.33
  4. Step 4: Simplify right side
    20,456.64x = 196,887,119.74
  5. Step 5: Solve for x
    x = 196,887,119.74/20,456.64
  6. Step 6: Final answer
    x = 9,624.61

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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.