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Finding the Fourth Proportional to 26,233.99, 36,201.84 and 14,297.07

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Solution

The fourth proportional to 26,233.99, 36,201.84 and 14,297.07 is: 19,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,233.99 : 36,201.84 = 14,297.07 : x
  2. Step 2: Convert to fraction form
    26,233.99/36,201.84 = 14,297.07/x
  3. Step 3: Cross multiply
    26,233.99x = 36,201.84 × 14,297.07
  4. Step 4: Simplify right side
    26,233.99x = 517,580,240.61
  5. Step 5: Solve for x
    x = 517,580,240.61/26,233.99
  6. Step 6: Final answer
    x = 19,729.38

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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.