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Finding the Fourth Proportional to 25,556.50, 38,335.10 and 8,026.33

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Solution

The fourth proportional to 25,556.50, 38,335.10 and 8,026.33 is: 12,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,556.50 : 38,335.10 = 8,026.33 : x
  2. Step 2: Convert to fraction form
    25,556.50/38,335.10 = 8,026.33/x
  3. Step 3: Cross multiply
    25,556.50x = 38,335.10 × 8,026.33
  4. Step 4: Simplify right side
    25,556.50x = 307,690,163.18
  5. Step 5: Solve for x
    x = 307,690,163.18/25,556.50
  6. Step 6: Final answer
    x = 12,039.60

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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.