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Finding the Fourth Proportional to 13,201.49, 18,211.15 and 8,164.10

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Solution

The fourth proportional to 13,201.49, 18,211.15 and 8,164.10 is: 11,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.49 : 18,211.15 = 8,164.10 : x
  2. Step 2: Convert to fraction form
    13,201.49/18,211.15 = 8,164.10/x
  3. Step 3: Cross multiply
    13,201.49x = 18,211.15 × 8,164.10
  4. Step 4: Simplify right side
    13,201.49x = 148,677,649.72
  5. Step 5: Solve for x
    x = 148,677,649.72/13,201.49
  6. Step 6: Final answer
    x = 11,262.19

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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.