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Finding the Fourth Proportional to 17,683.08, 24,384.12 and 13,199.64

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Solution

The fourth proportional to 17,683.08, 24,384.12 and 13,199.64 is: 18,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.08 : 24,384.12 = 13,199.64 : x
  2. Step 2: Convert to fraction form
    17,683.08/24,384.12 = 13,199.64/x
  3. Step 3: Cross multiply
    17,683.08x = 24,384.12 × 13,199.64
  4. Step 4: Simplify right side
    17,683.08x = 321,861,605.72
  5. Step 5: Solve for x
    x = 321,861,605.72/17,683.08
  6. Step 6: Final answer
    x = 18,201.67

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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.