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Finding the Fourth Proportional to 13,573.67, 20,349.54 and 5,249.39

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Solution

The fourth proportional to 13,573.67, 20,349.54 and 5,249.39 is: 7,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.67 : 20,349.54 = 5,249.39 : x
  2. Step 2: Convert to fraction form
    13,573.67/20,349.54 = 5,249.39/x
  3. Step 3: Cross multiply
    13,573.67x = 20,349.54 × 5,249.39
  4. Step 4: Simplify right side
    13,573.67x = 106,822,570.03
  5. Step 5: Solve for x
    x = 106,822,570.03/13,573.67
  6. Step 6: Final answer
    x = 7,869.84

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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.