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Finding the Fourth Proportional to 13,728.34, 20,597.43 and 5,403.73

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Solution

The fourth proportional to 13,728.34, 20,597.43 and 5,403.73 is: 8,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.34 : 20,597.43 = 5,403.73 : x
  2. Step 2: Convert to fraction form
    13,728.34/20,597.43 = 5,403.73/x
  3. Step 3: Cross multiply
    13,728.34x = 20,597.43 × 5,403.73
  4. Step 4: Simplify right side
    13,728.34x = 111,302,950.41
  5. Step 5: Solve for x
    x = 111,302,950.41/13,728.34
  6. Step 6: Final answer
    x = 8,107.53

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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.