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Finding the Fourth Proportional to 12,383.82, 18,576.54 and 3,618

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Solution

The fourth proportional to 12,383.82, 18,576.54 and 3,618 is: 5,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.82 : 18,576.54 = 3,618 : x
  2. Step 2: Convert to fraction form
    12,383.82/18,576.54 = 3,618/x
  3. Step 3: Cross multiply
    12,383.82x = 18,576.54 × 3,618
  4. Step 4: Simplify right side
    12,383.82x = 67,209,921.72
  5. Step 5: Solve for x
    x = 67,209,921.72/12,383.82
  6. Step 6: Final answer
    x = 5,427.24

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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.