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Finding the Fourth Proportional to 20,186.40, 30,284.40 and 8,493.60

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Solution

The fourth proportional to 20,186.40, 30,284.40 and 8,493.60 is: 12,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.40 : 30,284.40 = 8,493.60 : x
  2. Step 2: Convert to fraction form
    20,186.40/30,284.40 = 8,493.60/x
  3. Step 3: Cross multiply
    20,186.40x = 30,284.40 × 8,493.60
  4. Step 4: Simplify right side
    20,186.40x = 257,223,579.84
  5. Step 5: Solve for x
    x = 257,223,579.84/20,186.40
  6. Step 6: Final answer
    x = 12,742.42

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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.