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Finding the Fourth Proportional to 25,757.88, 38,622 and 13,735.20

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Solution

The fourth proportional to 25,757.88, 38,622 and 13,735.20 is: 20,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.88 : 38,622 = 13,735.20 : x
  2. Step 2: Convert to fraction form
    25,757.88/38,622 = 13,735.20/x
  3. Step 3: Cross multiply
    25,757.88x = 38,622 × 13,735.20
  4. Step 4: Simplify right side
    25,757.88x = 530,480,894.40
  5. Step 5: Solve for x
    x = 530,480,894.40/25,757.88
  6. Step 6: Final answer
    x = 20,594.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.