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Finding the Fourth Proportional to 26,548.76, 36,652.02 and 15,941

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Solution

The fourth proportional to 26,548.76, 36,652.02 and 15,941 is: 22,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.76 : 36,652.02 = 15,941 : x
  2. Step 2: Convert to fraction form
    26,548.76/36,652.02 = 15,941/x
  3. Step 3: Cross multiply
    26,548.76x = 36,652.02 × 15,941
  4. Step 4: Simplify right side
    26,548.76x = 584,269,850.82
  5. Step 5: Solve for x
    x = 584,269,850.82/26,548.76
  6. Step 6: Final answer
    x = 22,007.43

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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.