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Finding the Fourth Proportional to 21,033.42, 31,540.89 and 7,876.56

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Solution

The fourth proportional to 21,033.42, 31,540.89 and 7,876.56 is: 11,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.42 : 31,540.89 = 7,876.56 : x
  2. Step 2: Convert to fraction form
    21,033.42/31,540.89 = 7,876.56/x
  3. Step 3: Cross multiply
    21,033.42x = 31,540.89 × 7,876.56
  4. Step 4: Simplify right side
    21,033.42x = 248,433,712.54
  5. Step 5: Solve for x
    x = 248,433,712.54/21,033.42
  6. Step 6: Final answer
    x = 11,811.38

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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.