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Finding the Fourth Proportional to 13,647.04, 20,471.50 and 5,324.29

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Solution

The fourth proportional to 13,647.04, 20,471.50 and 5,324.29 is: 7,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.04 : 20,471.50 = 5,324.29 : x
  2. Step 2: Convert to fraction form
    13,647.04/20,471.50 = 5,324.29/x
  3. Step 3: Cross multiply
    13,647.04x = 20,471.50 × 5,324.29
  4. Step 4: Simplify right side
    13,647.04x = 108,996,158.21
  5. Step 5: Solve for x
    x = 108,996,158.21/13,647.04
  6. Step 6: Final answer
    x = 7,986.80

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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.