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Finding the Fourth Proportional to 11,201.40, 16,788.24 and 9,817.41

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Solution

The fourth proportional to 11,201.40, 16,788.24 and 9,817.41 is: 14,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.40 : 16,788.24 = 9,817.41 : x
  2. Step 2: Convert to fraction form
    11,201.40/16,788.24 = 9,817.41/x
  3. Step 3: Cross multiply
    11,201.40x = 16,788.24 × 9,817.41
  4. Step 4: Simplify right side
    11,201.40x = 164,817,035.26
  5. Step 5: Solve for x
    x = 164,817,035.26/11,201.40
  6. Step 6: Final answer
    x = 14,713.97

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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.