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Finding the Fourth Proportional to 19,874.85, 27,427.77 and 10,922.55

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Solution

The fourth proportional to 19,874.85, 27,427.77 and 10,922.55 is: 15,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.85 : 27,427.77 = 10,922.55 : x
  2. Step 2: Convert to fraction form
    19,874.85/27,427.77 = 10,922.55/x
  3. Step 3: Cross multiply
    19,874.85x = 27,427.77 × 10,922.55
  4. Step 4: Simplify right side
    19,874.85x = 299,581,189.21
  5. Step 5: Solve for x
    x = 299,581,189.21/19,874.85
  6. Step 6: Final answer
    x = 15,073.38

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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.