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Finding the Fourth Proportional to 20,014.49, 30,021.06 and 9,489.56

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Solution

The fourth proportional to 20,014.49, 30,021.06 and 9,489.56 is: 14,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.49 : 30,021.06 = 9,489.56 : x
  2. Step 2: Convert to fraction form
    20,014.49/30,021.06 = 9,489.56/x
  3. Step 3: Cross multiply
    20,014.49x = 30,021.06 × 9,489.56
  4. Step 4: Simplify right side
    20,014.49x = 284,886,455.55
  5. Step 5: Solve for x
    x = 284,886,455.55/20,014.49
  6. Step 6: Final answer
    x = 14,234.01

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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.