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Finding the Fourth Proportional to 20,872.69, 31,313.13 and 7,725.17

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Solution

The fourth proportional to 20,872.69, 31,313.13 and 7,725.17 is: 11,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.69 : 31,313.13 = 7,725.17 : x
  2. Step 2: Convert to fraction form
    20,872.69/31,313.13 = 7,725.17/x
  3. Step 3: Cross multiply
    20,872.69x = 31,313.13 × 7,725.17
  4. Step 4: Simplify right side
    20,872.69x = 241,899,252.48
  5. Step 5: Solve for x
    x = 241,899,252.48/20,872.69
  6. Step 6: Final answer
    x = 11,589.27

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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.