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Finding the Fourth Proportional to 16,477.89, 22,739.82 and 9,309.27

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Solution

The fourth proportional to 16,477.89, 22,739.82 and 9,309.27 is: 12,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.89 : 22,739.82 = 9,309.27 : x
  2. Step 2: Convert to fraction form
    16,477.89/22,739.82 = 9,309.27/x
  3. Step 3: Cross multiply
    16,477.89x = 22,739.82 × 9,309.27
  4. Step 4: Simplify right side
    16,477.89x = 211,691,124.13
  5. Step 5: Solve for x
    x = 211,691,124.13/16,477.89
  6. Step 6: Final answer
    x = 12,846.98

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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.