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Finding the Fourth Proportional to 12,266.38, 18,401.40 and 5,693.22

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Solution

The fourth proportional to 12,266.38, 18,401.40 and 5,693.22 is: 8,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.38 : 18,401.40 = 5,693.22 : x
  2. Step 2: Convert to fraction form
    12,266.38/18,401.40 = 5,693.22/x
  3. Step 3: Cross multiply
    12,266.38x = 18,401.40 × 5,693.22
  4. Step 4: Simplify right side
    12,266.38x = 104,763,218.51
  5. Step 5: Solve for x
    x = 104,763,218.51/12,266.38
  6. Step 6: Final answer
    x = 8,540.68

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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.