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Finding the Fourth Proportional to 12,189.86, 18,283.60 and 8,266.32

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Solution

The fourth proportional to 12,189.86, 18,283.60 and 8,266.32 is: 12,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.86 : 18,283.60 = 8,266.32 : x
  2. Step 2: Convert to fraction form
    12,189.86/18,283.60 = 8,266.32/x
  3. Step 3: Cross multiply
    12,189.86x = 18,283.60 × 8,266.32
  4. Step 4: Simplify right side
    12,189.86x = 151,138,088.35
  5. Step 5: Solve for x
    x = 151,138,088.35/12,189.86
  6. Step 6: Final answer
    x = 12,398.67

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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.