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Finding the Fourth Proportional to 20,317.28, 30,450.54 and 9,785.34

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Solution

The fourth proportional to 20,317.28, 30,450.54 and 9,785.34 is: 14,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.28 : 30,450.54 = 9,785.34 : x
  2. Step 2: Convert to fraction form
    20,317.28/30,450.54 = 9,785.34/x
  3. Step 3: Cross multiply
    20,317.28x = 30,450.54 × 9,785.34
  4. Step 4: Simplify right side
    20,317.28x = 297,968,887.08
  5. Step 5: Solve for x
    x = 297,968,887.08/20,317.28
  6. Step 6: Final answer
    x = 14,665.79

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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.