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Finding the Fourth Proportional to 16,906.12, 25,365.66 and 7,042.78

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Solution

The fourth proportional to 16,906.12, 25,365.66 and 7,042.78 is: 10,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.12 : 25,365.66 = 7,042.78 : x
  2. Step 2: Convert to fraction form
    16,906.12/25,365.66 = 7,042.78/x
  3. Step 3: Cross multiply
    16,906.12x = 25,365.66 × 7,042.78
  4. Step 4: Simplify right side
    16,906.12x = 178,644,762.93
  5. Step 5: Solve for x
    x = 178,644,762.93/16,906.12
  6. Step 6: Final answer
    x = 10,566.87

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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.