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Finding the Fourth Proportional to 27,199.32, 40,790.34 and 8,727

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Solution

The fourth proportional to 27,199.32, 40,790.34 and 8,727 is: 13,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.32 : 40,790.34 = 8,727 : x
  2. Step 2: Convert to fraction form
    27,199.32/40,790.34 = 8,727/x
  3. Step 3: Cross multiply
    27,199.32x = 40,790.34 × 8,727
  4. Step 4: Simplify right side
    27,199.32x = 355,977,297.18
  5. Step 5: Solve for x
    x = 355,977,297.18/27,199.32
  6. Step 6: Final answer
    x = 13,087.73

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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.