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Finding the Fourth Proportional to 14,220.43, 21,328.22 and 3,829.75

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Solution

The fourth proportional to 14,220.43, 21,328.22 and 3,829.75 is: 5,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.43 : 21,328.22 = 3,829.75 : x
  2. Step 2: Convert to fraction form
    14,220.43/21,328.22 = 3,829.75/x
  3. Step 3: Cross multiply
    14,220.43x = 21,328.22 × 3,829.75
  4. Step 4: Simplify right side
    14,220.43x = 81,681,731.40
  5. Step 5: Solve for x
    x = 81,681,731.40/14,220.43
  6. Step 6: Final answer
    x = 5,743.97

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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.