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Finding the Fourth Proportional to 27,922.44, 41,883.66 and 9,453

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Solution

The fourth proportional to 27,922.44, 41,883.66 and 9,453 is: 14,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.44 : 41,883.66 = 9,453 : x
  2. Step 2: Convert to fraction form
    27,922.44/41,883.66 = 9,453/x
  3. Step 3: Cross multiply
    27,922.44x = 41,883.66 × 9,453
  4. Step 4: Simplify right side
    27,922.44x = 395,926,237.98
  5. Step 5: Solve for x
    x = 395,926,237.98/27,922.44
  6. Step 6: Final answer
    x = 14,179.50

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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.