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Finding the Fourth Proportional to 27,914.12, 41,875.02 and 8,194.04

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Solution

The fourth proportional to 27,914.12, 41,875.02 and 8,194.04 is: 12,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.12 : 41,875.02 = 8,194.04 : x
  2. Step 2: Convert to fraction form
    27,914.12/41,875.02 = 8,194.04/x
  3. Step 3: Cross multiply
    27,914.12x = 41,875.02 × 8,194.04
  4. Step 4: Simplify right side
    27,914.12x = 343,125,588.88
  5. Step 5: Solve for x
    x = 343,125,588.88/27,914.12
  6. Step 6: Final answer
    x = 12,292.19

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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.