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Finding the Fourth Proportional to 12,633.24, 18,930.42 and 7,433.40

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Solution

The fourth proportional to 12,633.24, 18,930.42 and 7,433.40 is: 11,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.24 : 18,930.42 = 7,433.40 : x
  2. Step 2: Convert to fraction form
    12,633.24/18,930.42 = 7,433.40/x
  3. Step 3: Cross multiply
    12,633.24x = 18,930.42 × 7,433.40
  4. Step 4: Simplify right side
    12,633.24x = 140,717,384.03
  5. Step 5: Solve for x
    x = 140,717,384.03/12,633.24
  6. Step 6: Final answer
    x = 11,138.66

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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.