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Finding the Fourth Proportional to 16,681.97, 25,008.46 and 6,814.96

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Solution

The fourth proportional to 16,681.97, 25,008.46 and 6,814.96 is: 10,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.97 : 25,008.46 = 6,814.96 : x
  2. Step 2: Convert to fraction form
    16,681.97/25,008.46 = 6,814.96/x
  3. Step 3: Cross multiply
    16,681.97x = 25,008.46 × 6,814.96
  4. Step 4: Simplify right side
    16,681.97x = 170,431,654.56
  5. Step 5: Solve for x
    x = 170,431,654.56/16,681.97
  6. Step 6: Final answer
    x = 10,216.52

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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.