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Finding the Fourth Proportional to 17,183, 25,777.74 and 4,871

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Solution

The fourth proportional to 17,183, 25,777.74 and 4,871 is: 7,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,183 : 25,777.74 = 4,871 : x
  2. Step 2: Convert to fraction form
    17,183/25,777.74 = 4,871/x
  3. Step 3: Cross multiply
    17,183x = 25,777.74 × 4,871
  4. Step 4: Simplify right side
    17,183x = 125,563,371.54
  5. Step 5: Solve for x
    x = 125,563,371.54/17,183
  6. Step 6: Final answer
    x = 7,307.42

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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.