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Finding the Fourth Proportional to 12,898.47, 17,797.17 and 8,428.80

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Solution

The fourth proportional to 12,898.47, 17,797.17 and 8,428.80 is: 11,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.47 : 17,797.17 = 8,428.80 : x
  2. Step 2: Convert to fraction form
    12,898.47/17,797.17 = 8,428.80/x
  3. Step 3: Cross multiply
    12,898.47x = 17,797.17 × 8,428.80
  4. Step 4: Simplify right side
    12,898.47x = 150,008,786.50
  5. Step 5: Solve for x
    x = 150,008,786.50/12,898.47
  6. Step 6: Final answer
    x = 11,629.97

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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.