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Finding the Fourth Proportional to 25,556.49, 38,340.84 and 8,026.32

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Solution

The fourth proportional to 25,556.49, 38,340.84 and 8,026.32 is: 12,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,556.49 : 38,340.84 = 8,026.32 : x
  2. Step 2: Convert to fraction form
    25,556.49/38,340.84 = 8,026.32/x
  3. Step 3: Cross multiply
    25,556.49x = 38,340.84 × 8,026.32
  4. Step 4: Simplify right side
    25,556.49x = 307,735,850.91
  5. Step 5: Solve for x
    x = 307,735,850.91/25,556.49
  6. Step 6: Final answer
    x = 12,041.40

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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.