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Finding the Fourth Proportional to 13,210.14, 18,229.76 and 7,241.85

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Solution

The fourth proportional to 13,210.14, 18,229.76 and 7,241.85 is: 9,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.14 : 18,229.76 = 7,241.85 : x
  2. Step 2: Convert to fraction form
    13,210.14/18,229.76 = 7,241.85/x
  3. Step 3: Cross multiply
    13,210.14x = 18,229.76 × 7,241.85
  4. Step 4: Simplify right side
    13,210.14x = 132,017,151.25
  5. Step 5: Solve for x
    x = 132,017,151.25/13,210.14
  6. Step 6: Final answer
    x = 9,993.62

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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.