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Finding the Fourth Proportional to 24,583.49, 36,878.88 and 7,940.42

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Solution

The fourth proportional to 24,583.49, 36,878.88 and 7,940.42 is: 11,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,583.49 : 36,878.88 = 7,940.42 : x
  2. Step 2: Convert to fraction form
    24,583.49/36,878.88 = 7,940.42/x
  3. Step 3: Cross multiply
    24,583.49x = 36,878.88 × 7,940.42
  4. Step 4: Simplify right side
    24,583.49x = 292,833,796.33
  5. Step 5: Solve for x
    x = 292,833,796.33/24,583.49
  6. Step 6: Final answer
    x = 11,911.81

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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.