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Finding the Fourth Proportional to 27,894.32, 41,842.28 and 8,172.90

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Solution

The fourth proportional to 27,894.32, 41,842.28 and 8,172.90 is: 12,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.32 : 41,842.28 = 8,172.90 : x
  2. Step 2: Convert to fraction form
    27,894.32/41,842.28 = 8,172.90/x
  3. Step 3: Cross multiply
    27,894.32x = 41,842.28 × 8,172.90
  4. Step 4: Simplify right side
    27,894.32x = 341,972,770.21
  5. Step 5: Solve for x
    x = 341,972,770.21/27,894.32
  6. Step 6: Final answer
    x = 12,259.58

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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.