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Finding the Fourth Proportional to 16,194.06, 22,349.97 and 9,823.23

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Solution

The fourth proportional to 16,194.06, 22,349.97 and 9,823.23 is: 13,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.06 : 22,349.97 = 9,823.23 : x
  2. Step 2: Convert to fraction form
    16,194.06/22,349.97 = 9,823.23/x
  3. Step 3: Cross multiply
    16,194.06x = 22,349.97 × 9,823.23
  4. Step 4: Simplify right side
    16,194.06x = 219,548,895.80
  5. Step 5: Solve for x
    x = 219,548,895.80/16,194.06
  6. Step 6: Final answer
    x = 13,557.37

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