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Finding the Fourth Proportional to 12,114.30, 18,171.45 and 11,166.60

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Solution

The fourth proportional to 12,114.30, 18,171.45 and 11,166.60 is: 16,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.30 : 18,171.45 = 11,166.60 : x
  2. Step 2: Convert to fraction form
    12,114.30/18,171.45 = 11,166.60/x
  3. Step 3: Cross multiply
    12,114.30x = 18,171.45 × 11,166.60
  4. Step 4: Simplify right side
    12,114.30x = 202,913,313.57
  5. Step 5: Solve for x
    x = 202,913,313.57/12,114.30
  6. Step 6: Final answer
    x = 16,749.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.