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Finding the Fourth Proportional to 13,706, 18,932.43 and 11,027.31

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Solution

The fourth proportional to 13,706, 18,932.43 and 11,027.31 is: 15,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706 : 18,932.43 = 11,027.31 : x
  2. Step 2: Convert to fraction form
    13,706/18,932.43 = 11,027.31/x
  3. Step 3: Cross multiply
    13,706x = 18,932.43 × 11,027.31
  4. Step 4: Simplify right side
    13,706x = 208,773,774.66
  5. Step 5: Solve for x
    x = 208,773,774.66/13,706
  6. Step 6: Final answer
    x = 15,232.29

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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.