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Finding the Fourth Proportional to 14,438.97, 21,654.63 and 5,673.96

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Solution

The fourth proportional to 14,438.97, 21,654.63 and 5,673.96 is: 8,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.97 : 21,654.63 = 5,673.96 : x
  2. Step 2: Convert to fraction form
    14,438.97/21,654.63 = 5,673.96/x
  3. Step 3: Cross multiply
    14,438.97x = 21,654.63 × 5,673.96
  4. Step 4: Simplify right side
    14,438.97x = 122,867,504.43
  5. Step 5: Solve for x
    x = 122,867,504.43/14,438.97
  6. Step 6: Final answer
    x = 8,509.44

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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.