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Finding the Fourth Proportional to 26,177, 36,124.26 and 14,401

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Solution

The fourth proportional to 26,177, 36,124.26 and 14,401 is: 19,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177 : 36,124.26 = 14,401 : x
  2. Step 2: Convert to fraction form
    26,177/36,124.26 = 14,401/x
  3. Step 3: Cross multiply
    26,177x = 36,124.26 × 14,401
  4. Step 4: Simplify right side
    26,177x = 520,225,468.26
  5. Step 5: Solve for x
    x = 520,225,468.26/26,177
  6. Step 6: Final answer
    x = 19,873.38

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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.