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Finding the Fourth Proportional to 16,596.24, 22,902.36 and 9,144.24

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Solution

The fourth proportional to 16,596.24, 22,902.36 and 9,144.24 is: 12,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.24 : 22,902.36 = 9,144.24 : x
  2. Step 2: Convert to fraction form
    16,596.24/22,902.36 = 9,144.24/x
  3. Step 3: Cross multiply
    16,596.24x = 22,902.36 × 9,144.24
  4. Step 4: Simplify right side
    16,596.24x = 209,424,676.41
  5. Step 5: Solve for x
    x = 209,424,676.41/16,596.24
  6. Step 6: Final answer
    x = 12,618.80

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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.