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Finding the Fourth Proportional to 16,783.52, 23,161.84 and 9,230.16

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Solution

The fourth proportional to 16,783.52, 23,161.84 and 9,230.16 is: 12,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.52 : 23,161.84 = 9,230.16 : x
  2. Step 2: Convert to fraction form
    16,783.52/23,161.84 = 9,230.16/x
  3. Step 3: Cross multiply
    16,783.52x = 23,161.84 × 9,230.16
  4. Step 4: Simplify right side
    16,783.52x = 213,787,489.09
  5. Step 5: Solve for x
    x = 213,787,489.09/16,783.52
  6. Step 6: Final answer
    x = 12,737.94

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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.