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Finding the Fourth Proportional to 27,416.65, 41,141.43 and 11,834.26

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Solution

The fourth proportional to 27,416.65, 41,141.43 and 11,834.26 is: 17,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.65 : 41,141.43 = 11,834.26 : x
  2. Step 2: Convert to fraction form
    27,416.65/41,141.43 = 11,834.26/x
  3. Step 3: Cross multiply
    27,416.65x = 41,141.43 × 11,834.26
  4. Step 4: Simplify right side
    27,416.65x = 486,878,379.39
  5. Step 5: Solve for x
    x = 486,878,379.39/27,416.65
  6. Step 6: Final answer
    x = 17,758.49

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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.