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Finding the Fourth Proportional to 27,813.79, 41,723.25 and 9,093.93

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Solution

The fourth proportional to 27,813.79, 41,723.25 and 9,093.93 is: 13,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.79 : 41,723.25 = 9,093.93 : x
  2. Step 2: Convert to fraction form
    27,813.79/41,723.25 = 9,093.93/x
  3. Step 3: Cross multiply
    27,813.79x = 41,723.25 × 9,093.93
  4. Step 4: Simplify right side
    27,813.79x = 379,428,314.87
  5. Step 5: Solve for x
    x = 379,428,314.87/27,813.79
  6. Step 6: Final answer
    x = 13,641.73

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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.