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Finding the Fourth Proportional to 26,485, 39,727.50 and 9,849.22

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Solution

The fourth proportional to 26,485, 39,727.50 and 9,849.22 is: 14,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,485 : 39,727.50 = 9,849.22 : x
  2. Step 2: Convert to fraction form
    26,485/39,727.50 = 9,849.22/x
  3. Step 3: Cross multiply
    26,485x = 39,727.50 × 9,849.22
  4. Step 4: Simplify right side
    26,485x = 391,284,887.55
  5. Step 5: Solve for x
    x = 391,284,887.55/26,485
  6. Step 6: Final answer
    x = 14,773.83

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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.