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Finding the Fourth Proportional to 26,921.50, 40,384.24 and 8,203.14

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Solution

The fourth proportional to 26,921.50, 40,384.24 and 8,203.14 is: 12,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,921.50 : 40,384.24 = 8,203.14 : x
  2. Step 2: Convert to fraction form
    26,921.50/40,384.24 = 8,203.14/x
  3. Step 3: Cross multiply
    26,921.50x = 40,384.24 × 8,203.14
  4. Step 4: Simplify right side
    26,921.50x = 331,277,554.01
  5. Step 5: Solve for x
    x = 331,277,554.01/26,921.50
  6. Step 6: Final answer
    x = 12,305.32

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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.