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Finding the Fourth Proportional to 27,131.16, 40,703.08 and 8,410.22

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Solution

The fourth proportional to 27,131.16, 40,703.08 and 8,410.22 is: 12,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.16 : 40,703.08 = 8,410.22 : x
  2. Step 2: Convert to fraction form
    27,131.16/40,703.08 = 8,410.22/x
  3. Step 3: Cross multiply
    27,131.16x = 40,703.08 × 8,410.22
  4. Step 4: Simplify right side
    27,131.16x = 342,321,857.48
  5. Step 5: Solve for x
    x = 342,321,857.48/27,131.16
  6. Step 6: Final answer
    x = 12,617.30

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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.