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Finding the Fourth Proportional to 13,458.78, 20,192.22 and 8,127.90

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Solution

The fourth proportional to 13,458.78, 20,192.22 and 8,127.90 is: 12,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.78 : 20,192.22 = 8,127.90 : x
  2. Step 2: Convert to fraction form
    13,458.78/20,192.22 = 8,127.90/x
  3. Step 3: Cross multiply
    13,458.78x = 20,192.22 × 8,127.90
  4. Step 4: Simplify right side
    13,458.78x = 164,120,344.94
  5. Step 5: Solve for x
    x = 164,120,344.94/13,458.78
  6. Step 6: Final answer
    x = 12,194.30

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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.