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Finding the Fourth Proportional to 27,887.67, 41,822.63 and 9,163.39

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Solution

The fourth proportional to 27,887.67, 41,822.63 and 9,163.39 is: 13,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.67 : 41,822.63 = 9,163.39 : x
  2. Step 2: Convert to fraction form
    27,887.67/41,822.63 = 9,163.39/x
  3. Step 3: Cross multiply
    27,887.67x = 41,822.63 × 9,163.39
  4. Step 4: Simplify right side
    27,887.67x = 383,237,069.52
  5. Step 5: Solve for x
    x = 383,237,069.52/27,887.67
  6. Step 6: Final answer
    x = 13,742.17

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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.