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Finding the Fourth Proportional to 26,204.10, 36,156.06 and 16,647

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Solution

The fourth proportional to 26,204.10, 36,156.06 and 16,647 is: 22,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204.10 : 36,156.06 = 16,647 : x
  2. Step 2: Convert to fraction form
    26,204.10/36,156.06 = 16,647/x
  3. Step 3: Cross multiply
    26,204.10x = 36,156.06 × 16,647
  4. Step 4: Simplify right side
    26,204.10x = 601,889,930.82
  5. Step 5: Solve for x
    x = 601,889,930.82/26,204.10
  6. Step 6: Final answer
    x = 22,969.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.