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Finding the Fourth Proportional to 25,608.20, 38,416.92 and 7,838.54

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Solution

The fourth proportional to 25,608.20, 38,416.92 and 7,838.54 is: 11,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,608.20 : 38,416.92 = 7,838.54 : x
  2. Step 2: Convert to fraction form
    25,608.20/38,416.92 = 7,838.54/x
  3. Step 3: Cross multiply
    25,608.20x = 38,416.92 × 7,838.54
  4. Step 4: Simplify right side
    25,608.20x = 301,132,564.10
  5. Step 5: Solve for x
    x = 301,132,564.10/25,608.20
  6. Step 6: Final answer
    x = 11,759.22

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