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Finding the Fourth Proportional to 14,644.90, 21,976.80 and 8,075.80

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Solution

The fourth proportional to 14,644.90, 21,976.80 and 8,075.80 is: 12,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.90 : 21,976.80 = 8,075.80 : x
  2. Step 2: Convert to fraction form
    14,644.90/21,976.80 = 8,075.80/x
  3. Step 3: Cross multiply
    14,644.90x = 21,976.80 × 8,075.80
  4. Step 4: Simplify right side
    14,644.90x = 177,480,241.44
  5. Step 5: Solve for x
    x = 177,480,241.44/14,644.90
  6. Step 6: Final answer
    x = 12,118.91

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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.