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Finding the Fourth Proportional to 20,014.77, 30,021.48 and 9,489.84

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Solution

The fourth proportional to 20,014.77, 30,021.48 and 9,489.84 is: 14,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.77 : 30,021.48 = 9,489.84 : x
  2. Step 2: Convert to fraction form
    20,014.77/30,021.48 = 9,489.84/x
  3. Step 3: Cross multiply
    20,014.77x = 30,021.48 × 9,489.84
  4. Step 4: Simplify right side
    20,014.77x = 284,898,929.18
  5. Step 5: Solve for x
    x = 284,898,929.18/20,014.77
  6. Step 6: Final answer
    x = 14,234.43

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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.