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Finding the Fourth Proportional to 20,144, 30,194.40 and 9,732.80

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Solution

The fourth proportional to 20,144, 30,194.40 and 9,732.80 is: 14,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144 : 30,194.40 = 9,732.80 : x
  2. Step 2: Convert to fraction form
    20,144/30,194.40 = 9,732.80/x
  3. Step 3: Cross multiply
    20,144x = 30,194.40 × 9,732.80
  4. Step 4: Simplify right side
    20,144x = 293,876,056.32
  5. Step 5: Solve for x
    x = 293,876,056.32/20,144
  6. Step 6: Final answer
    x = 14,588.76

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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.