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Finding the Fourth Proportional to 21,033.34, 31,540.78 and 7,876.49

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Solution

The fourth proportional to 21,033.34, 31,540.78 and 7,876.49 is: 11,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.34 : 31,540.78 = 7,876.49 : x
  2. Step 2: Convert to fraction form
    21,033.34/31,540.78 = 7,876.49/x
  3. Step 3: Cross multiply
    21,033.34x = 31,540.78 × 7,876.49
  4. Step 4: Simplify right side
    21,033.34x = 248,430,623.52
  5. Step 5: Solve for x
    x = 248,430,623.52/21,033.34
  6. Step 6: Final answer
    x = 11,811.28

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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.