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Finding the Fourth Proportional to 12,513.89, 18,774.38 and 6,266.36

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Solution

The fourth proportional to 12,513.89, 18,774.38 and 6,266.36 is: 9,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.89 : 18,774.38 = 6,266.36 : x
  2. Step 2: Convert to fraction form
    12,513.89/18,774.38 = 6,266.36/x
  3. Step 3: Cross multiply
    12,513.89x = 18,774.38 × 6,266.36
  4. Step 4: Simplify right side
    12,513.89x = 117,647,086.46
  5. Step 5: Solve for x
    x = 117,647,086.46/12,513.89
  6. Step 6: Final answer
    x = 9,401.32

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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.