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Finding the Fourth Proportional to 25,745.34, 35,528.22 and 14,414.88

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Solution

The fourth proportional to 25,745.34, 35,528.22 and 14,414.88 is: 19,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.34 : 35,528.22 = 14,414.88 : x
  2. Step 2: Convert to fraction form
    25,745.34/35,528.22 = 14,414.88/x
  3. Step 3: Cross multiply
    25,745.34x = 35,528.22 × 14,414.88
  4. Step 4: Simplify right side
    25,745.34x = 512,135,027.91
  5. Step 5: Solve for x
    x = 512,135,027.91/25,745.34
  6. Step 6: Final answer
    x = 19,892.34

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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.