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Finding the Fourth Proportional to 13,357.68, 18,433.68 and 7,768.68

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Solution

The fourth proportional to 13,357.68, 18,433.68 and 7,768.68 is: 10,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.68 : 18,433.68 = 7,768.68 : x
  2. Step 2: Convert to fraction form
    13,357.68/18,433.68 = 7,768.68/x
  3. Step 3: Cross multiply
    13,357.68x = 18,433.68 × 7,768.68
  4. Step 4: Simplify right side
    13,357.68x = 143,205,361.14
  5. Step 5: Solve for x
    x = 143,205,361.14/13,357.68
  6. Step 6: Final answer
    x = 10,720.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.