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Finding the Fourth Proportional to 23,229.08, 34,847.94 and 7,647.80

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Solution

The fourth proportional to 23,229.08, 34,847.94 and 7,647.80 is: 11,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.08 : 34,847.94 = 7,647.80 : x
  2. Step 2: Convert to fraction form
    23,229.08/34,847.94 = 7,647.80/x
  3. Step 3: Cross multiply
    23,229.08x = 34,847.94 × 7,647.80
  4. Step 4: Simplify right side
    23,229.08x = 266,510,075.53
  5. Step 5: Solve for x
    x = 266,510,075.53/23,229.08
  6. Step 6: Final answer
    x = 11,473.12

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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.