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Finding the Fourth Proportional to 13,211.50, 18,232.68 and 7,622.50

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Solution

The fourth proportional to 13,211.50, 18,232.68 and 7,622.50 is: 10,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.50 : 18,232.68 = 7,622.50 : x
  2. Step 2: Convert to fraction form
    13,211.50/18,232.68 = 7,622.50/x
  3. Step 3: Cross multiply
    13,211.50x = 18,232.68 × 7,622.50
  4. Step 4: Simplify right side
    13,211.50x = 138,978,603.30
  5. Step 5: Solve for x
    x = 138,978,603.30/13,211.50
  6. Step 6: Final answer
    x = 10,519.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.