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Finding the Fourth Proportional to 16,223.18, 24,324.93 and 7,894.80

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Solution

The fourth proportional to 16,223.18, 24,324.93 and 7,894.80 is: 11,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.18 : 24,324.93 = 7,894.80 : x
  2. Step 2: Convert to fraction form
    16,223.18/24,324.93 = 7,894.80/x
  3. Step 3: Cross multiply
    16,223.18x = 24,324.93 × 7,894.80
  4. Step 4: Simplify right side
    16,223.18x = 192,040,457.36
  5. Step 5: Solve for x
    x = 192,040,457.36/16,223.18
  6. Step 6: Final answer
    x = 11,837.42

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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.