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Finding the Fourth Proportional to 13,735.68, 20,596.80 and 9,577.68

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Solution

The fourth proportional to 13,735.68, 20,596.80 and 9,577.68 is: 14,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.68 : 20,596.80 = 9,577.68 : x
  2. Step 2: Convert to fraction form
    13,735.68/20,596.80 = 9,577.68/x
  3. Step 3: Cross multiply
    13,735.68x = 20,596.80 × 9,577.68
  4. Step 4: Simplify right side
    13,735.68x = 197,269,559.42
  5. Step 5: Solve for x
    x = 197,269,559.42/13,735.68
  6. Step 6: Final answer
    x = 14,361.83

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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.