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Finding the Fourth Proportional to 22,783.70, 31,394.85 and 16,805.90

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Solution

The fourth proportional to 22,783.70, 31,394.85 and 16,805.90 is: 23,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.70 : 31,394.85 = 16,805.90 : x
  2. Step 2: Convert to fraction form
    22,783.70/31,394.85 = 16,805.90/x
  3. Step 3: Cross multiply
    22,783.70x = 31,394.85 × 16,805.90
  4. Step 4: Simplify right side
    22,783.70x = 527,618,709.62
  5. Step 5: Solve for x
    x = 527,618,709.62/22,783.70
  6. Step 6: Final answer
    x = 23,157.73

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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.