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Finding the Fourth Proportional to 14,021.69, 21,033.23 and 5,697.41

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Solution

The fourth proportional to 14,021.69, 21,033.23 and 5,697.41 is: 8,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.69 : 21,033.23 = 5,697.41 : x
  2. Step 2: Convert to fraction form
    14,021.69/21,033.23 = 5,697.41/x
  3. Step 3: Cross multiply
    14,021.69x = 21,033.23 × 5,697.41
  4. Step 4: Simplify right side
    14,021.69x = 119,834,801.28
  5. Step 5: Solve for x
    x = 119,834,801.28/14,021.69
  6. Step 6: Final answer
    x = 8,546.39

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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.