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Finding the Fourth Proportional to 16,783.90, 23,161.32 and 9,230.23

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Solution

The fourth proportional to 16,783.90, 23,161.32 and 9,230.23 is: 12,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.90 : 23,161.32 = 9,230.23 : x
  2. Step 2: Convert to fraction form
    16,783.90/23,161.32 = 9,230.23/x
  3. Step 3: Cross multiply
    16,783.90x = 23,161.32 × 9,230.23
  4. Step 4: Simplify right side
    16,783.90x = 213,784,148.75
  5. Step 5: Solve for x
    x = 213,784,148.75/16,783.90
  6. Step 6: Final answer
    x = 12,737.46

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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.