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Finding the Fourth Proportional to 16,814.88, 23,204.64 and 9,262.08

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Solution

The fourth proportional to 16,814.88, 23,204.64 and 9,262.08 is: 12,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.88 : 23,204.64 = 9,262.08 : x
  2. Step 2: Convert to fraction form
    16,814.88/23,204.64 = 9,262.08/x
  3. Step 3: Cross multiply
    16,814.88x = 23,204.64 × 9,262.08
  4. Step 4: Simplify right side
    16,814.88x = 214,923,232.05
  5. Step 5: Solve for x
    x = 214,923,232.05/16,814.88
  6. Step 6: Final answer
    x = 12,781.73

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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.