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Finding the Fourth Proportional to 20,234.40, 30,416.40 and 14,431.20

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Solution

The fourth proportional to 20,234.40, 30,416.40 and 14,431.20 is: 21,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.40 : 30,416.40 = 14,431.20 : x
  2. Step 2: Convert to fraction form
    20,234.40/30,416.40 = 14,431.20/x
  3. Step 3: Cross multiply
    20,234.40x = 30,416.40 × 14,431.20
  4. Step 4: Simplify right side
    20,234.40x = 438,945,151.68
  5. Step 5: Solve for x
    x = 438,945,151.68/20,234.40
  6. Step 6: Final answer
    x = 21,693.02

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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.