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Finding the Fourth Proportional to 27,245.25, 37,601.69 and 17,834.67

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Solution

The fourth proportional to 27,245.25, 37,601.69 and 17,834.67 is: 24,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.25 : 37,601.69 = 17,834.67 : x
  2. Step 2: Convert to fraction form
    27,245.25/37,601.69 = 17,834.67/x
  3. Step 3: Cross multiply
    27,245.25x = 37,601.69 × 17,834.67
  4. Step 4: Simplify right side
    27,245.25x = 670,613,643.42
  5. Step 5: Solve for x
    x = 670,613,643.42/27,245.25
  6. Step 6: Final answer
    x = 24,613.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.