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Finding the Fourth Proportional to 13,728.84, 20,596.68 and 6,338.44

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Solution

The fourth proportional to 13,728.84, 20,596.68 and 6,338.44 is: 9,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.84 : 20,596.68 = 6,338.44 : x
  2. Step 2: Convert to fraction form
    13,728.84/20,596.68 = 6,338.44/x
  3. Step 3: Cross multiply
    13,728.84x = 20,596.68 × 6,338.44
  4. Step 4: Simplify right side
    13,728.84x = 130,550,820.38
  5. Step 5: Solve for x
    x = 130,550,820.38/13,728.84
  6. Step 6: Final answer
    x = 9,509.24

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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.