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Finding the Fourth Proportional to 14,164.66, 19,544.97 and 8,196.58

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Solution

The fourth proportional to 14,164.66, 19,544.97 and 8,196.58 is: 11,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.66 : 19,544.97 = 8,196.58 : x
  2. Step 2: Convert to fraction form
    14,164.66/19,544.97 = 8,196.58/x
  3. Step 3: Cross multiply
    14,164.66x = 19,544.97 × 8,196.58
  4. Step 4: Simplify right side
    14,164.66x = 160,201,910.20
  5. Step 5: Solve for x
    x = 160,201,910.20/14,164.66
  6. Step 6: Final answer
    x = 11,309.97

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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.