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Finding the Fourth Proportional to 13,190.67, 18,211.64 and 11,771.93

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Solution

The fourth proportional to 13,190.67, 18,211.64 and 11,771.93 is: 16,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.67 : 18,211.64 = 11,771.93 : x
  2. Step 2: Convert to fraction form
    13,190.67/18,211.64 = 11,771.93/x
  3. Step 3: Cross multiply
    13,190.67x = 18,211.64 × 11,771.93
  4. Step 4: Simplify right side
    13,190.67x = 214,386,137.93
  5. Step 5: Solve for x
    x = 214,386,137.93/13,190.67
  6. Step 6: Final answer
    x = 16,252.86

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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.