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Finding the Fourth Proportional to 15,767.75, 21,759.50 and 8,694.32

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Solution

The fourth proportional to 15,767.75, 21,759.50 and 8,694.32 is: 11,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.75 : 21,759.50 = 8,694.32 : x
  2. Step 2: Convert to fraction form
    15,767.75/21,759.50 = 8,694.32/x
  3. Step 3: Cross multiply
    15,767.75x = 21,759.50 × 8,694.32
  4. Step 4: Simplify right side
    15,767.75x = 189,184,012.57
  5. Step 5: Solve for x
    x = 189,184,012.57/15,767.75
  6. Step 6: Final answer
    x = 11,998.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.