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Finding the Fourth Proportional to 14,299, 21,450 and 3,910.75

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Solution

The fourth proportional to 14,299, 21,450 and 3,910.75 is: 5,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299 : 21,450 = 3,910.75 : x
  2. Step 2: Convert to fraction form
    14,299/21,450 = 3,910.75/x
  3. Step 3: Cross multiply
    14,299x = 21,450 × 3,910.75
  4. Step 4: Simplify right side
    14,299x = 83,885,587.50
  5. Step 5: Solve for x
    x = 83,885,587.50/14,299
  6. Step 6: Final answer
    x = 5,866.54

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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.