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Finding the Fourth Proportional to 26,217, 36,181.44 and 16,142.94

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Solution

The fourth proportional to 26,217, 36,181.44 and 16,142.94 is: 22,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,217 : 36,181.44 = 16,142.94 : x
  2. Step 2: Convert to fraction form
    26,217/36,181.44 = 16,142.94/x
  3. Step 3: Cross multiply
    26,217x = 36,181.44 × 16,142.94
  4. Step 4: Simplify right side
    26,217x = 584,074,815.03
  5. Step 5: Solve for x
    x = 584,074,815.03/26,217
  6. Step 6: Final answer
    x = 22,278.48

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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.