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Finding the Fourth Proportional to 14,164.67, 19,546.28 and 8,114.93

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Solution

The fourth proportional to 14,164.67, 19,546.28 and 8,114.93 is: 11,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.67 : 19,546.28 = 8,114.93 : x
  2. Step 2: Convert to fraction form
    14,164.67/19,546.28 = 8,114.93/x
  3. Step 3: Cross multiply
    14,164.67x = 19,546.28 × 8,114.93
  4. Step 4: Simplify right side
    14,164.67x = 158,616,555.65
  5. Step 5: Solve for x
    x = 158,616,555.65/14,164.67
  6. Step 6: Final answer
    x = 11,198.04

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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.