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Finding the Fourth Proportional to 16,222.93, 24,324.55 and 7,894.55

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Solution

The fourth proportional to 16,222.93, 24,324.55 and 7,894.55 is: 11,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.93 : 24,324.55 = 7,894.55 : x
  2. Step 2: Convert to fraction form
    16,222.93/24,324.55 = 7,894.55/x
  3. Step 3: Cross multiply
    16,222.93x = 24,324.55 × 7,894.55
  4. Step 4: Simplify right side
    16,222.93x = 192,031,376.20
  5. Step 5: Solve for x
    x = 192,031,376.20/16,222.93
  6. Step 6: Final answer
    x = 11,837.03

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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.