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Finding the Fourth Proportional to 13,196.73, 18,211.50 and 7,228.77

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Solution

The fourth proportional to 13,196.73, 18,211.50 and 7,228.77 is: 9,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.73 : 18,211.50 = 7,228.77 : x
  2. Step 2: Convert to fraction form
    13,196.73/18,211.50 = 7,228.77/x
  3. Step 3: Cross multiply
    13,196.73x = 18,211.50 × 7,228.77
  4. Step 4: Simplify right side
    13,196.73x = 131,646,744.86
  5. Step 5: Solve for x
    x = 131,646,744.86/13,196.73
  6. Step 6: Final answer
    x = 9,975.71

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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.