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Finding the Fourth Proportional to 14,067.93, 21,096.76 and 6,165

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Solution

The fourth proportional to 14,067.93, 21,096.76 and 6,165 is: 9,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.93 : 21,096.76 = 6,165 : x
  2. Step 2: Convert to fraction form
    14,067.93/21,096.76 = 6,165/x
  3. Step 3: Cross multiply
    14,067.93x = 21,096.76 × 6,165
  4. Step 4: Simplify right side
    14,067.93x = 130,061,525.40
  5. Step 5: Solve for x
    x = 130,061,525.40/14,067.93
  6. Step 6: Final answer
    x = 9,245.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.