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Finding the Fourth Proportional to 12,429.96, 18,643.34 and 3,665.80

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Solution

The fourth proportional to 12,429.96, 18,643.34 and 3,665.80 is: 5,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.96 : 18,643.34 = 3,665.80 : x
  2. Step 2: Convert to fraction form
    12,429.96/18,643.34 = 3,665.80/x
  3. Step 3: Cross multiply
    12,429.96x = 18,643.34 × 3,665.80
  4. Step 4: Simplify right side
    12,429.96x = 68,342,755.77
  5. Step 5: Solve for x
    x = 68,342,755.77/12,429.96
  6. Step 6: Final answer
    x = 5,498.23

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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.