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Finding the Fourth Proportional to 24,696.78, 37,046.34 and 8,056.78

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Solution

The fourth proportional to 24,696.78, 37,046.34 and 8,056.78 is: 12,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.78 : 37,046.34 = 8,056.78 : x
  2. Step 2: Convert to fraction form
    24,696.78/37,046.34 = 8,056.78/x
  3. Step 3: Cross multiply
    24,696.78x = 37,046.34 × 8,056.78
  4. Step 4: Simplify right side
    24,696.78x = 298,474,211.19
  5. Step 5: Solve for x
    x = 298,474,211.19/24,696.78
  6. Step 6: Final answer
    x = 12,085.55

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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.