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Finding the Fourth Proportional to 12,267.50, 18,401.00 and 6,991.26

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Solution

The fourth proportional to 12,267.50, 18,401.00 and 6,991.26 is: 10,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.50 : 18,401.00 = 6,991.26 : x
  2. Step 2: Convert to fraction form
    12,267.50/18,401.00 = 6,991.26/x
  3. Step 3: Cross multiply
    12,267.50x = 18,401.00 × 6,991.26
  4. Step 4: Simplify right side
    12,267.50x = 128,646,140.30
  5. Step 5: Solve for x
    x = 128,646,140.30/12,267.50
  6. Step 6: Final answer
    x = 10,486.75

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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.