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Finding the Fourth Proportional to 20,027.24, 30,049.64 and 9,504.86

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Solution

The fourth proportional to 20,027.24, 30,049.64 and 9,504.86 is: 14,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.24 : 30,049.64 = 9,504.86 : x
  2. Step 2: Convert to fraction form
    20,027.24/30,049.64 = 9,504.86/x
  3. Step 3: Cross multiply
    20,027.24x = 30,049.64 × 9,504.86
  4. Step 4: Simplify right side
    20,027.24x = 285,617,423.48
  5. Step 5: Solve for x
    x = 285,617,423.48/20,027.24
  6. Step 6: Final answer
    x = 14,261.45

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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.