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Finding the Fourth Proportional to 14,549.57, 21,806.10 and 6,219.80

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Solution

The fourth proportional to 14,549.57, 21,806.10 and 6,219.80 is: 9,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.57 : 21,806.10 = 6,219.80 : x
  2. Step 2: Convert to fraction form
    14,549.57/21,806.10 = 6,219.80/x
  3. Step 3: Cross multiply
    14,549.57x = 21,806.10 × 6,219.80
  4. Step 4: Simplify right side
    14,549.57x = 135,629,575.44
  5. Step 5: Solve for x
    x = 135,629,575.44/14,549.57
  6. Step 6: Final answer
    x = 9,321.89

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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.