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Finding the Fourth Proportional to 20,409.75, 30,615.68 and 5,618.34

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Solution

The fourth proportional to 20,409.75, 30,615.68 and 5,618.34 is: 8,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.75 : 30,615.68 = 5,618.34 : x
  2. Step 2: Convert to fraction form
    20,409.75/30,615.68 = 5,618.34/x
  3. Step 3: Cross multiply
    20,409.75x = 30,615.68 × 5,618.34
  4. Step 4: Simplify right side
    20,409.75x = 172,009,313.62
  5. Step 5: Solve for x
    x = 172,009,313.62/20,409.75
  6. Step 6: Final answer
    x = 8,427.80

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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.