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Finding the Fourth Proportional to 20,247.76, 30,321.42 and 14,014

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Solution

The fourth proportional to 20,247.76, 30,321.42 and 14,014 is: 20,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,247.76 : 30,321.42 = 14,014 : x
  2. Step 2: Convert to fraction form
    20,247.76/30,321.42 = 14,014/x
  3. Step 3: Cross multiply
    20,247.76x = 30,321.42 × 14,014
  4. Step 4: Simplify right side
    20,247.76x = 424,924,379.88
  5. Step 5: Solve for x
    x = 424,924,379.88/20,247.76
  6. Step 6: Final answer
    x = 20,986.24

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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.