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Finding the Fourth Proportional to 21,262.32, 31,893.66 and 8,111.16

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Solution

The fourth proportional to 21,262.32, 31,893.66 and 8,111.16 is: 12,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.32 : 31,893.66 = 8,111.16 : x
  2. Step 2: Convert to fraction form
    21,262.32/31,893.66 = 8,111.16/x
  3. Step 3: Cross multiply
    21,262.32x = 31,893.66 × 8,111.16
  4. Step 4: Simplify right side
    21,262.32x = 258,694,579.25
  5. Step 5: Solve for x
    x = 258,694,579.25/21,262.32
  6. Step 6: Final answer
    x = 12,166.81

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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.