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Finding the Fourth Proportional to 26,057.71, 39,093.86 and 8,539.84

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Solution

The fourth proportional to 26,057.71, 39,093.86 and 8,539.84 is: 12,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,057.71 : 39,093.86 = 8,539.84 : x
  2. Step 2: Convert to fraction form
    26,057.71/39,093.86 = 8,539.84/x
  3. Step 3: Cross multiply
    26,057.71x = 39,093.86 × 8,539.84
  4. Step 4: Simplify right side
    26,057.71x = 333,855,309.38
  5. Step 5: Solve for x
    x = 333,855,309.38/26,057.71
  6. Step 6: Final answer
    x = 12,812.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.