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Finding the Fourth Proportional to 16,324.67, 22,533.17 and 9,255.80

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Solution

The fourth proportional to 16,324.67, 22,533.17 and 9,255.80 is: 12,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.67 : 22,533.17 = 9,255.80 : x
  2. Step 2: Convert to fraction form
    16,324.67/22,533.17 = 9,255.80/x
  3. Step 3: Cross multiply
    16,324.67x = 22,533.17 × 9,255.80
  4. Step 4: Simplify right side
    16,324.67x = 208,562,355.94
  5. Step 5: Solve for x
    x = 208,562,355.94/16,324.67
  6. Step 6: Final answer
    x = 12,775.90

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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.