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Finding the Fourth Proportional to 20,094.92, 30,122.54 and 8,416.20

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Solution

The fourth proportional to 20,094.92, 30,122.54 and 8,416.20 is: 12,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.92 : 30,122.54 = 8,416.20 : x
  2. Step 2: Convert to fraction form
    20,094.92/30,122.54 = 8,416.20/x
  3. Step 3: Cross multiply
    20,094.92x = 30,122.54 × 8,416.20
  4. Step 4: Simplify right side
    20,094.92x = 253,517,321.15
  5. Step 5: Solve for x
    x = 253,517,321.15/20,094.92
  6. Step 6: Final answer
    x = 12,615.99

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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.