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Finding the Fourth Proportional to 16,796.96, 23,180.16 and 9,243.68

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Solution

The fourth proportional to 16,796.96, 23,180.16 and 9,243.68 is: 12,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,796.96 : 23,180.16 = 9,243.68 : x
  2. Step 2: Convert to fraction form
    16,796.96/23,180.16 = 9,243.68/x
  3. Step 3: Cross multiply
    16,796.96x = 23,180.16 × 9,243.68
  4. Step 4: Simplify right side
    16,796.96x = 214,269,981.39
  5. Step 5: Solve for x
    x = 214,269,981.39/16,796.96
  6. Step 6: Final answer
    x = 12,756.47

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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.