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Finding the Fourth Proportional to 20,456.34, 30,684.43 and 6,416.47

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Solution

The fourth proportional to 20,456.34, 30,684.43 and 6,416.47 is: 9,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.34 : 30,684.43 = 6,416.47 : x
  2. Step 2: Convert to fraction form
    20,456.34/30,684.43 = 6,416.47/x
  3. Step 3: Cross multiply
    20,456.34x = 30,684.43 × 6,416.47
  4. Step 4: Simplify right side
    20,456.34x = 196,885,724.56
  5. Step 5: Solve for x
    x = 196,885,724.56/20,456.34
  6. Step 6: Final answer
    x = 9,624.68

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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.