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Finding the Fourth Proportional to 24,900, 34,362 and 13,722

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Solution

The fourth proportional to 24,900, 34,362 and 13,722 is: 18,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,900 : 34,362 = 13,722 : x
  2. Step 2: Convert to fraction form
    24,900/34,362 = 13,722/x
  3. Step 3: Cross multiply
    24,900x = 34,362 × 13,722
  4. Step 4: Simplify right side
    24,900x = 471,515,364
  5. Step 5: Solve for x
    x = 471,515,364/24,900
  6. Step 6: Final answer
    x = 18,936.36

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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.