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Finding the Fourth Proportional to 19,433.85, 29,149.09 and 11,833.17

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Solution

The fourth proportional to 19,433.85, 29,149.09 and 11,833.17 is: 17,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,433.85 : 29,149.09 = 11,833.17 : x
  2. Step 2: Convert to fraction form
    19,433.85/29,149.09 = 11,833.17/x
  3. Step 3: Cross multiply
    19,433.85x = 29,149.09 × 11,833.17
  4. Step 4: Simplify right side
    19,433.85x = 344,926,137.32
  5. Step 5: Solve for x
    x = 344,926,137.32/19,433.85
  6. Step 6: Final answer
    x = 17,748.73

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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.