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Finding the Fourth Proportional to 14,213.88, 21,323.90 and 5,448.80

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Solution

The fourth proportional to 14,213.88, 21,323.90 and 5,448.80 is: 8,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.88 : 21,323.90 = 5,448.80 : x
  2. Step 2: Convert to fraction form
    14,213.88/21,323.90 = 5,448.80/x
  3. Step 3: Cross multiply
    14,213.88x = 21,323.90 × 5,448.80
  4. Step 4: Simplify right side
    14,213.88x = 116,189,733.25
  5. Step 5: Solve for x
    x = 116,189,733.25/14,213.88
  6. Step 6: Final answer
    x = 8,174.39

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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.