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Finding the Fourth Proportional to 13,201.65, 18,183.29 and 9,833.67

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Solution

The fourth proportional to 13,201.65, 18,183.29 and 9,833.67 is: 13,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.65 : 18,183.29 = 9,833.67 : x
  2. Step 2: Convert to fraction form
    13,201.65/18,183.29 = 9,833.67/x
  3. Step 3: Cross multiply
    13,201.65x = 18,183.29 × 9,833.67
  4. Step 4: Simplify right side
    13,201.65x = 178,808,424.21
  5. Step 5: Solve for x
    x = 178,808,424.21/13,201.65
  6. Step 6: Final answer
    x = 13,544.40

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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.