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Finding the Fourth Proportional to 13,817.60, 19,072.41 and 9,850.22

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Solution

The fourth proportional to 13,817.60, 19,072.41 and 9,850.22 is: 13,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.60 : 19,072.41 = 9,850.22 : x
  2. Step 2: Convert to fraction form
    13,817.60/19,072.41 = 9,850.22/x
  3. Step 3: Cross multiply
    13,817.60x = 19,072.41 × 9,850.22
  4. Step 4: Simplify right side
    13,817.60x = 187,867,434.43
  5. Step 5: Solve for x
    x = 187,867,434.43/13,817.60
  6. Step 6: Final answer
    x = 13,596.24

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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.