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Finding the Fourth Proportional to 16,783.15, 23,160.79 and 9,229.94

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Solution

The fourth proportional to 16,783.15, 23,160.79 and 9,229.94 is: 12,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.15 : 23,160.79 = 9,229.94 : x
  2. Step 2: Convert to fraction form
    16,783.15/23,160.79 = 9,229.94/x
  3. Step 3: Cross multiply
    16,783.15x = 23,160.79 × 9,229.94
  4. Step 4: Simplify right side
    16,783.15x = 213,772,702.05
  5. Step 5: Solve for x
    x = 213,772,702.05/16,783.15
  6. Step 6: Final answer
    x = 12,737.34

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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.