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Finding the Fourth Proportional to 26,154.50, 39,249.39 and 9,738.50

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Solution

The fourth proportional to 26,154.50, 39,249.39 and 9,738.50 is: 14,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,154.50 : 39,249.39 = 9,738.50 : x
  2. Step 2: Convert to fraction form
    26,154.50/39,249.39 = 9,738.50/x
  3. Step 3: Cross multiply
    26,154.50x = 39,249.39 × 9,738.50
  4. Step 4: Simplify right side
    26,154.50x = 382,230,184.52
  5. Step 5: Solve for x
    x = 382,230,184.52/26,154.50
  6. Step 6: Final answer
    x = 14,614.32

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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.