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Finding the Fourth Proportional to 27,887.69, 41,838.13 and 9,167.78

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Solution

The fourth proportional to 27,887.69, 41,838.13 and 9,167.78 is: 13,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.69 : 41,838.13 = 9,167.78 : x
  2. Step 2: Convert to fraction form
    27,887.69/41,838.13 = 9,167.78/x
  3. Step 3: Cross multiply
    27,887.69x = 41,838.13 × 9,167.78
  4. Step 4: Simplify right side
    27,887.69x = 383,562,725.61
  5. Step 5: Solve for x
    x = 383,562,725.61/27,887.69
  6. Step 6: Final answer
    x = 13,753.84

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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.