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Finding the Fourth Proportional to 16,194.99, 22,349.38 and 9,121.67

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Solution

The fourth proportional to 16,194.99, 22,349.38 and 9,121.67 is: 12,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.99 : 22,349.38 = 9,121.67 : x
  2. Step 2: Convert to fraction form
    16,194.99/22,349.38 = 9,121.67/x
  3. Step 3: Cross multiply
    16,194.99x = 22,349.38 × 9,121.67
  4. Step 4: Simplify right side
    16,194.99x = 203,863,669.06
  5. Step 5: Solve for x
    x = 203,863,669.06/16,194.99
  6. Step 6: Final answer
    x = 12,588.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.