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Finding the Fourth Proportional to 27,431.82, 41,143.51 and 8,709.42

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Solution

The fourth proportional to 27,431.82, 41,143.51 and 8,709.42 is: 13,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.82 : 41,143.51 = 8,709.42 : x
  2. Step 2: Convert to fraction form
    27,431.82/41,143.51 = 8,709.42/x
  3. Step 3: Cross multiply
    27,431.82x = 41,143.51 × 8,709.42
  4. Step 4: Simplify right side
    27,431.82x = 358,336,108.86
  5. Step 5: Solve for x
    x = 358,336,108.86/27,431.82
  6. Step 6: Final answer
    x = 13,062.79

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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.