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Finding the Fourth Proportional to 15,767.84, 21,760.56 and 8,694.24

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Solution

The fourth proportional to 15,767.84, 21,760.56 and 8,694.24 is: 11,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.84 : 21,760.56 = 8,694.24 : x
  2. Step 2: Convert to fraction form
    15,767.84/21,760.56 = 8,694.24/x
  3. Step 3: Cross multiply
    15,767.84x = 21,760.56 × 8,694.24
  4. Step 4: Simplify right side
    15,767.84x = 189,191,531.17
  5. Step 5: Solve for x
    x = 189,191,531.17/15,767.84
  6. Step 6: Final answer
    x = 11,998.57

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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.