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Finding the Fourth Proportional to 13,796.29, 19,040.21 and 8,494.21

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Solution

The fourth proportional to 13,796.29, 19,040.21 and 8,494.21 is: 11,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.29 : 19,040.21 = 8,494.21 : x
  2. Step 2: Convert to fraction form
    13,796.29/19,040.21 = 8,494.21/x
  3. Step 3: Cross multiply
    13,796.29x = 19,040.21 × 8,494.21
  4. Step 4: Simplify right side
    13,796.29x = 161,731,542.18
  5. Step 5: Solve for x
    x = 161,731,542.18/13,796.29
  6. Step 6: Final answer
    x = 11,722.83

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1.5x scale

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.