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Finding the Fourth Proportional to 26,857.24, 40,224.52 and 12,827.14

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Solution

The fourth proportional to 26,857.24, 40,224.52 and 12,827.14 is: 19,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857.24 : 40,224.52 = 12,827.14 : x
  2. Step 2: Convert to fraction form
    26,857.24/40,224.52 = 12,827.14/x
  3. Step 3: Cross multiply
    26,857.24x = 40,224.52 × 12,827.14
  4. Step 4: Simplify right side
    26,857.24x = 515,965,549.47
  5. Step 5: Solve for x
    x = 515,965,549.47/26,857.24
  6. Step 6: Final answer
    x = 19,211.41

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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.