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Finding the Fourth Proportional to 14,103.12, 21,153.89 and 5,782.80

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Solution

The fourth proportional to 14,103.12, 21,153.89 and 5,782.80 is: 8,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.12 : 21,153.89 = 5,782.80 : x
  2. Step 2: Convert to fraction form
    14,103.12/21,153.89 = 5,782.80/x
  3. Step 3: Cross multiply
    14,103.12x = 21,153.89 × 5,782.80
  4. Step 4: Simplify right side
    14,103.12x = 122,328,729.55
  5. Step 5: Solve for x
    x = 122,328,729.55/14,103.12
  6. Step 6: Final answer
    x = 8,673.88

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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.