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Finding the Fourth Proportional to 20,313.32, 30,458.82 and 6,269.49

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Solution

The fourth proportional to 20,313.32, 30,458.82 and 6,269.49 is: 9,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.32 : 30,458.82 = 6,269.49 : x
  2. Step 2: Convert to fraction form
    20,313.32/30,458.82 = 6,269.49/x
  3. Step 3: Cross multiply
    20,313.32x = 30,458.82 × 6,269.49
  4. Step 4: Simplify right side
    20,313.32x = 190,961,267.40
  5. Step 5: Solve for x
    x = 190,961,267.40/20,313.32
  6. Step 6: Final answer
    x = 9,400.79

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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.