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Finding the Fourth Proportional to 20,245.95, 30,388.38 and 9,864.99

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Solution

The fourth proportional to 20,245.95, 30,388.38 and 9,864.99 is: 14,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.95 : 30,388.38 = 9,864.99 : x
  2. Step 2: Convert to fraction form
    20,245.95/30,388.38 = 9,864.99/x
  3. Step 3: Cross multiply
    20,245.95x = 30,388.38 × 9,864.99
  4. Step 4: Simplify right side
    20,245.95x = 299,781,064.82
  5. Step 5: Solve for x
    x = 299,781,064.82/20,245.95
  6. Step 6: Final answer
    x = 14,806.96

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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.