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Finding the Fourth Proportional to 20,313.78, 30,466.93 and 9,217.80

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Solution

The fourth proportional to 20,313.78, 30,466.93 and 9,217.80 is: 13,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.78 : 30,466.93 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    20,313.78/30,466.93 = 9,217.80/x
  3. Step 3: Cross multiply
    20,313.78x = 30,466.93 × 9,217.80
  4. Step 4: Simplify right side
    20,313.78x = 280,838,067.35
  5. Step 5: Solve for x
    x = 280,838,067.35/20,313.78
  6. Step 6: Final answer
    x = 13,825.00

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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.