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Finding the Fourth Proportional to 26,201, 36,157.32 and 14,264.42

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Solution

The fourth proportional to 26,201, 36,157.32 and 14,264.42 is: 19,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,201 : 36,157.32 = 14,264.42 : x
  2. Step 2: Convert to fraction form
    26,201/36,157.32 = 14,264.42/x
  3. Step 3: Cross multiply
    26,201x = 36,157.32 × 14,264.42
  4. Step 4: Simplify right side
    26,201x = 515,763,198.55
  5. Step 5: Solve for x
    x = 515,763,198.55/26,201
  6. Step 6: Final answer
    x = 19,684.87

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Why These Related Problems?

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