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Finding the Fourth Proportional to 27,172.62, 40,765.32 and 8,451.72

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Solution

The fourth proportional to 27,172.62, 40,765.32 and 8,451.72 is: 12,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,172.62 : 40,765.32 = 8,451.72 : x
  2. Step 2: Convert to fraction form
    27,172.62/40,765.32 = 8,451.72/x
  3. Step 3: Cross multiply
    27,172.62x = 40,765.32 × 8,451.72
  4. Step 4: Simplify right side
    27,172.62x = 344,537,070.35
  5. Step 5: Solve for x
    x = 344,537,070.35/27,172.62
  6. Step 6: Final answer
    x = 12,679.57

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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.