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Finding the Fourth Proportional to 13,686.40, 18,887.97 and 8,021.26

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Solution

The fourth proportional to 13,686.40, 18,887.97 and 8,021.26 is: 11,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.40 : 18,887.97 = 8,021.26 : x
  2. Step 2: Convert to fraction form
    13,686.40/18,887.97 = 8,021.26/x
  3. Step 3: Cross multiply
    13,686.40x = 18,887.97 × 8,021.26
  4. Step 4: Simplify right side
    13,686.40x = 151,505,318.24
  5. Step 5: Solve for x
    x = 151,505,318.24/13,686.40
  6. Step 6: Final answer
    x = 11,069.77

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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.