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Finding the Fourth Proportional to 12,305.16, 18,467.56 and 6,383.72

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Solution

The fourth proportional to 12,305.16, 18,467.56 and 6,383.72 is: 9,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.16 : 18,467.56 = 6,383.72 : x
  2. Step 2: Convert to fraction form
    12,305.16/18,467.56 = 6,383.72/x
  3. Step 3: Cross multiply
    12,305.16x = 18,467.56 × 6,383.72
  4. Step 4: Simplify right side
    12,305.16x = 117,891,732.12
  5. Step 5: Solve for x
    x = 117,891,732.12/12,305.16
  6. Step 6: Final answer
    x = 9,580.67

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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.