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Finding the Fourth Proportional to 16,505.37, 22,778.63 and 9,431.64

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Solution

The fourth proportional to 16,505.37, 22,778.63 and 9,431.64 is: 13,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.37 : 22,778.63 = 9,431.64 : x
  2. Step 2: Convert to fraction form
    16,505.37/22,778.63 = 9,431.64/x
  3. Step 3: Cross multiply
    16,505.37x = 22,778.63 × 9,431.64
  4. Step 4: Simplify right side
    16,505.37x = 214,839,826.06
  5. Step 5: Solve for x
    x = 214,839,826.06/16,505.37
  6. Step 6: Final answer
    x = 13,016.36

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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.