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Finding the Fourth Proportional to 21,111.36, 31,671.72 and 7,963.86

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Solution

The fourth proportional to 21,111.36, 31,671.72 and 7,963.86 is: 11,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111.36 : 31,671.72 = 7,963.86 : x
  2. Step 2: Convert to fraction form
    21,111.36/31,671.72 = 7,963.86/x
  3. Step 3: Cross multiply
    21,111.36x = 31,671.72 × 7,963.86
  4. Step 4: Simplify right side
    21,111.36x = 252,229,144.04
  5. Step 5: Solve for x
    x = 252,229,144.04/21,111.36
  6. Step 6: Final answer
    x = 11,947.56

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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.