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Finding the Fourth Proportional to 25,556.52, 38,336.64 and 8,026.20

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Solution

The fourth proportional to 25,556.52, 38,336.64 and 8,026.20 is: 12,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,556.52 : 38,336.64 = 8,026.20 : x
  2. Step 2: Convert to fraction form
    25,556.52/38,336.64 = 8,026.20/x
  3. Step 3: Cross multiply
    25,556.52x = 38,336.64 × 8,026.20
  4. Step 4: Simplify right side
    25,556.52x = 307,697,539.97
  5. Step 5: Solve for x
    x = 307,697,539.97/25,556.52
  6. Step 6: Final answer
    x = 12,039.88

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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.