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Finding the Fourth Proportional to 15,997.92, 22,075.38 and 11,274

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Solution

The fourth proportional to 15,997.92, 22,075.38 and 11,274 is: 15,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.92 : 22,075.38 = 11,274 : x
  2. Step 2: Convert to fraction form
    15,997.92/22,075.38 = 11,274/x
  3. Step 3: Cross multiply
    15,997.92x = 22,075.38 × 11,274
  4. Step 4: Simplify right side
    15,997.92x = 248,877,834.12
  5. Step 5: Solve for x
    x = 248,877,834.12/15,997.92
  6. Step 6: Final answer
    x = 15,556.89

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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.