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Finding the Fourth Proportional to 11,829.69, 17,744.40 and 4,433.99

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Solution

The fourth proportional to 11,829.69, 17,744.40 and 4,433.99 is: 6,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.69 : 17,744.40 = 4,433.99 : x
  2. Step 2: Convert to fraction form
    11,829.69/17,744.40 = 4,433.99/x
  3. Step 3: Cross multiply
    11,829.69x = 17,744.40 × 4,433.99
  4. Step 4: Simplify right side
    11,829.69x = 78,678,403.43
  5. Step 5: Solve for x
    x = 78,678,403.43/11,829.69
  6. Step 6: Final answer
    x = 6,650.93

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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.