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Finding the Fourth Proportional to 17,144, 25,716 and 4,832

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Solution

The fourth proportional to 17,144, 25,716 and 4,832 is: 7,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144 : 25,716 = 4,832 : x
  2. Step 2: Convert to fraction form
    17,144/25,716 = 4,832/x
  3. Step 3: Cross multiply
    17,144x = 25,716 × 4,832
  4. Step 4: Simplify right side
    17,144x = 124,259,712
  5. Step 5: Solve for x
    x = 124,259,712/17,144
  6. Step 6: Final answer
    x = 7,248

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.