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Finding the Fourth Proportional to 10,109.80, 13,998.18 and 9,850.60

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Solution

The fourth proportional to 10,109.80, 13,998.18 and 9,850.60 is: 13,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.80 : 13,998.18 = 9,850.60 : x
  2. Step 2: Convert to fraction form
    10,109.80/13,998.18 = 9,850.60/x
  3. Step 3: Cross multiply
    10,109.80x = 13,998.18 × 9,850.60
  4. Step 4: Simplify right side
    10,109.80x = 137,890,471.91
  5. Step 5: Solve for x
    x = 137,890,471.91/10,109.80
  6. Step 6: Final answer
    x = 13,639.29

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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.