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Finding the Fourth Proportional to 12,438.36, 18,651.47 and 5,424.30

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Solution

The fourth proportional to 12,438.36, 18,651.47 and 5,424.30 is: 8,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.36 : 18,651.47 = 5,424.30 : x
  2. Step 2: Convert to fraction form
    12,438.36/18,651.47 = 5,424.30/x
  3. Step 3: Cross multiply
    12,438.36x = 18,651.47 × 5,424.30
  4. Step 4: Simplify right side
    12,438.36x = 101,171,141.60
  5. Step 5: Solve for x
    x = 101,171,141.60/12,438.36
  6. Step 6: Final answer
    x = 8,133.80

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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.