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Finding the Fourth Proportional to 25,738.68, 38,598.98 and 7,721.54

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Solution

The fourth proportional to 25,738.68, 38,598.98 and 7,721.54 is: 11,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.68 : 38,598.98 = 7,721.54 : x
  2. Step 2: Convert to fraction form
    25,738.68/38,598.98 = 7,721.54/x
  3. Step 3: Cross multiply
    25,738.68x = 38,598.98 × 7,721.54
  4. Step 4: Simplify right side
    25,738.68x = 298,043,336.43
  5. Step 5: Solve for x
    x = 298,043,336.43/25,738.68
  6. Step 6: Final answer
    x = 11,579.59

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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.