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Finding the Fourth Proportional to 25,408.42, 35,031.09 and 19,733.56

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Solution

The fourth proportional to 25,408.42, 35,031.09 and 19,733.56 is: 27,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.42 : 35,031.09 = 19,733.56 : x
  2. Step 2: Convert to fraction form
    25,408.42/35,031.09 = 19,733.56/x
  3. Step 3: Cross multiply
    25,408.42x = 35,031.09 × 19,733.56
  4. Step 4: Simplify right side
    25,408.42x = 691,288,116.38
  5. Step 5: Solve for x
    x = 691,288,116.38/25,408.42
  6. Step 6: Final answer
    x = 27,207.05

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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.