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Finding the Fourth Proportional to 25,438.50, 38,157.82 and 7,908.35

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Solution

The fourth proportional to 25,438.50, 38,157.82 and 7,908.35 is: 11,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.50 : 38,157.82 = 7,908.35 : x
  2. Step 2: Convert to fraction form
    25,438.50/38,157.82 = 7,908.35/x
  3. Step 3: Cross multiply
    25,438.50x = 38,157.82 × 7,908.35
  4. Step 4: Simplify right side
    25,438.50x = 301,765,185.24
  5. Step 5: Solve for x
    x = 301,765,185.24/25,438.50
  6. Step 6: Final answer
    x = 11,862.54

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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.