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Finding the Fourth Proportional to 13,654.40, 20,473.89 and 5,324.89

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Solution

The fourth proportional to 13,654.40, 20,473.89 and 5,324.89 is: 7,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.40 : 20,473.89 = 5,324.89 : x
  2. Step 2: Convert to fraction form
    13,654.40/20,473.89 = 5,324.89/x
  3. Step 3: Cross multiply
    13,654.40x = 20,473.89 × 5,324.89
  4. Step 4: Simplify right side
    13,654.40x = 109,021,194.33
  5. Step 5: Solve for x
    x = 109,021,194.33/13,654.40
  6. Step 6: Final answer
    x = 7,984.33

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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.