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Finding the Fourth Proportional to 27,813.95, 41,723.49 and 9,094.08

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Solution

The fourth proportional to 27,813.95, 41,723.49 and 9,094.08 is: 13,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.95 : 41,723.49 = 9,094.08 : x
  2. Step 2: Convert to fraction form
    27,813.95/41,723.49 = 9,094.08/x
  3. Step 3: Cross multiply
    27,813.95x = 41,723.49 × 9,094.08
  4. Step 4: Simplify right side
    27,813.95x = 379,436,778.00
  5. Step 5: Solve for x
    x = 379,436,778.00/27,813.95
  6. Step 6: Final answer
    x = 13,641.96

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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.