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Finding the Fourth Proportional to 16,211.90, 24,324.33 and 5,824.46

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Solution

The fourth proportional to 16,211.90, 24,324.33 and 5,824.46 is: 8,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.90 : 24,324.33 = 5,824.46 : x
  2. Step 2: Convert to fraction form
    16,211.90/24,324.33 = 5,824.46/x
  3. Step 3: Cross multiply
    16,211.90x = 24,324.33 × 5,824.46
  4. Step 4: Simplify right side
    16,211.90x = 141,675,965.49
  5. Step 5: Solve for x
    x = 141,675,965.49/16,211.90
  6. Step 6: Final answer
    x = 8,739.01

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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.