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Finding the Fourth Proportional to 27,878.20, 41,817.66 and 8,157.16

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Solution

The fourth proportional to 27,878.20, 41,817.66 and 8,157.16 is: 12,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.20 : 41,817.66 = 8,157.16 : x
  2. Step 2: Convert to fraction form
    27,878.20/41,817.66 = 8,157.16/x
  3. Step 3: Cross multiply
    27,878.20x = 41,817.66 × 8,157.16
  4. Step 4: Simplify right side
    27,878.20x = 341,113,343.45
  5. Step 5: Solve for x
    x = 341,113,343.45/27,878.20
  6. Step 6: Final answer
    x = 12,235.85

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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.