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Finding the Fourth Proportional to 16,783.42, 23,161.10 and 9,230.24

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Solution

The fourth proportional to 16,783.42, 23,161.10 and 9,230.24 is: 12,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.42 : 23,161.10 = 9,230.24 : x
  2. Step 2: Convert to fraction form
    16,783.42/23,161.10 = 9,230.24/x
  3. Step 3: Cross multiply
    16,783.42x = 23,161.10 × 9,230.24
  4. Step 4: Simplify right side
    16,783.42x = 213,782,511.66
  5. Step 5: Solve for x
    x = 213,782,511.66/16,783.42
  6. Step 6: Final answer
    x = 12,737.72

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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.