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Finding the Fourth Proportional to 25,490.41, 38,235.60 and 7,961.74

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Solution

The fourth proportional to 25,490.41, 38,235.60 and 7,961.74 is: 11,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490.41 : 38,235.60 = 7,961.74 : x
  2. Step 2: Convert to fraction form
    25,490.41/38,235.60 = 7,961.74/x
  3. Step 3: Cross multiply
    25,490.41x = 38,235.60 × 7,961.74
  4. Step 4: Simplify right side
    25,490.41x = 304,421,905.94
  5. Step 5: Solve for x
    x = 304,421,905.94/25,490.41
  6. Step 6: Final answer
    x = 11,942.61

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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.