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Finding the Fourth Proportional to 26,234, 36,201.85 and 14,297.08

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Solution

The fourth proportional to 26,234, 36,201.85 and 14,297.08 is: 19,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,234 : 36,201.85 = 14,297.08 : x
  2. Step 2: Convert to fraction form
    26,234/36,201.85 = 14,297.08/x
  3. Step 3: Cross multiply
    26,234x = 36,201.85 × 14,297.08
  4. Step 4: Simplify right side
    26,234x = 517,580,745.60
  5. Step 5: Solve for x
    x = 517,580,745.60/26,234
  6. Step 6: Final answer
    x = 19,729.39

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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.