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Finding the Fourth Proportional to 20,439.64, 30,649.74 and 14,194.60

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Solution

The fourth proportional to 20,439.64, 30,649.74 and 14,194.60 is: 21,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439.64 : 30,649.74 = 14,194.60 : x
  2. Step 2: Convert to fraction form
    20,439.64/30,649.74 = 14,194.60/x
  3. Step 3: Cross multiply
    20,439.64x = 30,649.74 × 14,194.60
  4. Step 4: Simplify right side
    20,439.64x = 435,060,799.40
  5. Step 5: Solve for x
    x = 435,060,799.40/20,439.64
  6. Step 6: Final answer
    x = 21,285.15

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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.