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Finding the Fourth Proportional to 17,144.17, 25,692.90 and 10,483

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Solution

The fourth proportional to 17,144.17, 25,692.90 and 10,483 is: 15,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.17 : 25,692.90 = 10,483 : x
  2. Step 2: Convert to fraction form
    17,144.17/25,692.90 = 10,483/x
  3. Step 3: Cross multiply
    17,144.17x = 25,692.90 × 10,483
  4. Step 4: Simplify right side
    17,144.17x = 269,338,670.70
  5. Step 5: Solve for x
    x = 269,338,670.70/17,144.17
  6. Step 6: Final answer
    x = 15,710.22

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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.