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Finding the Fourth Proportional to 20,456.89, 30,685.68 and 6,416.58

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Solution

The fourth proportional to 20,456.89, 30,685.68 and 6,416.58 is: 9,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.89 : 30,685.68 = 6,416.58 : x
  2. Step 2: Convert to fraction form
    20,456.89/30,685.68 = 6,416.58/x
  3. Step 3: Cross multiply
    20,456.89x = 30,685.68 × 6,416.58
  4. Step 4: Simplify right side
    20,456.89x = 196,897,120.57
  5. Step 5: Solve for x
    x = 196,897,120.57/20,456.89
  6. Step 6: Final answer
    x = 9,624.98

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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.