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Finding the Fourth Proportional to 14,205.94, 21,308.89 and 3,817.69

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Solution

The fourth proportional to 14,205.94, 21,308.89 and 3,817.69 is: 5,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.94 : 21,308.89 = 3,817.69 : x
  2. Step 2: Convert to fraction form
    14,205.94/21,308.89 = 3,817.69/x
  3. Step 3: Cross multiply
    14,205.94x = 21,308.89 × 3,817.69
  4. Step 4: Simplify right side
    14,205.94x = 81,350,736.26
  5. Step 5: Solve for x
    x = 81,350,736.26/14,205.94
  6. Step 6: Final answer
    x = 5,726.53

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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.