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Finding the Fourth Proportional to 20,653.38, 30,938.49 and 9,544.77

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Solution

The fourth proportional to 20,653.38, 30,938.49 and 9,544.77 is: 14,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.38 : 30,938.49 = 9,544.77 : x
  2. Step 2: Convert to fraction form
    20,653.38/30,938.49 = 9,544.77/x
  3. Step 3: Cross multiply
    20,653.38x = 30,938.49 × 9,544.77
  4. Step 4: Simplify right side
    20,653.38x = 295,300,771.20
  5. Step 5: Solve for x
    x = 295,300,771.20/20,653.38
  6. Step 6: Final answer
    x = 14,297.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.