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Finding the Fourth Proportional to 16,899.78, 23,321.64 and 9,447.78

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Solution

The fourth proportional to 16,899.78, 23,321.64 and 9,447.78 is: 13,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,899.78 : 23,321.64 = 9,447.78 : x
  2. Step 2: Convert to fraction form
    16,899.78/23,321.64 = 9,447.78/x
  3. Step 3: Cross multiply
    16,899.78x = 23,321.64 × 9,447.78
  4. Step 4: Simplify right side
    16,899.78x = 220,337,723.96
  5. Step 5: Solve for x
    x = 220,337,723.96/16,899.78
  6. Step 6: Final answer
    x = 13,037.90

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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.