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Finding the Fourth Proportional to 13,786.42, 19,025.86 and 8,483

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Solution

The fourth proportional to 13,786.42, 19,025.86 and 8,483 is: 11,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.42 : 19,025.86 = 8,483 : x
  2. Step 2: Convert to fraction form
    13,786.42/19,025.86 = 8,483/x
  3. Step 3: Cross multiply
    13,786.42x = 19,025.86 × 8,483
  4. Step 4: Simplify right side
    13,786.42x = 161,396,370.38
  5. Step 5: Solve for x
    x = 161,396,370.38/13,786.42
  6. Step 6: Final answer
    x = 11,706.91

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Why These Related Problems?

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