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Finding the Fourth Proportional to 27,131.94, 40,694.67 and 7,412.22

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Solution

The fourth proportional to 27,131.94, 40,694.67 and 7,412.22 is: 11,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.94 : 40,694.67 = 7,412.22 : x
  2. Step 2: Convert to fraction form
    27,131.94/40,694.67 = 7,412.22/x
  3. Step 3: Cross multiply
    27,131.94x = 40,694.67 × 7,412.22
  4. Step 4: Simplify right side
    27,131.94x = 301,637,846.87
  5. Step 5: Solve for x
    x = 301,637,846.87/27,131.94
  6. Step 6: Final answer
    x = 11,117.44

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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.