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Finding the Fourth Proportional to 27,895.32, 41,843.78 and 8,173.90

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Solution

The fourth proportional to 27,895.32, 41,843.78 and 8,173.90 is: 12,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895.32 : 41,843.78 = 8,173.90 : x
  2. Step 2: Convert to fraction form
    27,895.32/41,843.78 = 8,173.90/x
  3. Step 3: Cross multiply
    27,895.32x = 41,843.78 × 8,173.90
  4. Step 4: Simplify right side
    27,895.32x = 342,026,873.34
  5. Step 5: Solve for x
    x = 342,026,873.34/27,895.32
  6. Step 6: Final answer
    x = 12,261.08

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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.