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Finding the Fourth Proportional to 15,843.09, 23,772.84 and 8,051.91

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Solution

The fourth proportional to 15,843.09, 23,772.84 and 8,051.91 is: 12,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.09 : 23,772.84 = 8,051.91 : x
  2. Step 2: Convert to fraction form
    15,843.09/23,772.84 = 8,051.91/x
  3. Step 3: Cross multiply
    15,843.09x = 23,772.84 × 8,051.91
  4. Step 4: Simplify right side
    15,843.09x = 191,416,694.07
  5. Step 5: Solve for x
    x = 191,416,694.07/15,843.09
  6. Step 6: Final answer
    x = 12,082.03

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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.