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Finding the Fourth Proportional to 13,647.39, 18,838.68 and 9,183.87

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Solution

The fourth proportional to 13,647.39, 18,838.68 and 9,183.87 is: 12,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.39 : 18,838.68 = 9,183.87 : x
  2. Step 2: Convert to fraction form
    13,647.39/18,838.68 = 9,183.87/x
  3. Step 3: Cross multiply
    13,647.39x = 18,838.68 × 9,183.87
  4. Step 4: Simplify right side
    13,647.39x = 173,011,988.09
  5. Step 5: Solve for x
    x = 173,011,988.09/13,647.39
  6. Step 6: Final answer
    x = 12,677.29

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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.