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Finding the Fourth Proportional to 20,245.96, 30,388.38 and 9,865

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Solution

The fourth proportional to 20,245.96, 30,388.38 and 9,865 is: 14,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.96 : 30,388.38 = 9,865 : x
  2. Step 2: Convert to fraction form
    20,245.96/30,388.38 = 9,865/x
  3. Step 3: Cross multiply
    20,245.96x = 30,388.38 × 9,865
  4. Step 4: Simplify right side
    20,245.96x = 299,781,368.70
  5. Step 5: Solve for x
    x = 299,781,368.70/20,245.96
  6. Step 6: Final answer
    x = 14,806.97

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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.