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Finding the Fourth Proportional to 21,793.38, 30,075.40 and 11,857.38

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Solution

The fourth proportional to 21,793.38, 30,075.40 and 11,857.38 is: 16,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793.38 : 30,075.40 = 11,857.38 : x
  2. Step 2: Convert to fraction form
    21,793.38/30,075.40 = 11,857.38/x
  3. Step 3: Cross multiply
    21,793.38x = 30,075.40 × 11,857.38
  4. Step 4: Simplify right side
    21,793.38x = 356,615,446.45
  5. Step 5: Solve for x
    x = 356,615,446.45/21,793.38
  6. Step 6: Final answer
    x = 16,363.48

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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.