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Finding the Fourth Proportional to 14,164.89, 19,546.54 and 8,114.41

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Solution

The fourth proportional to 14,164.89, 19,546.54 and 8,114.41 is: 11,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.89 : 19,546.54 = 8,114.41 : x
  2. Step 2: Convert to fraction form
    14,164.89/19,546.54 = 8,114.41/x
  3. Step 3: Cross multiply
    14,164.89x = 19,546.54 × 8,114.41
  4. Step 4: Simplify right side
    14,164.89x = 158,608,639.64
  5. Step 5: Solve for x
    x = 158,608,639.64/14,164.89
  6. Step 6: Final answer
    x = 11,197.31

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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.