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Finding the Fourth Proportional to 20,004.32, 30,006.48 and 7,683.68

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Solution

The fourth proportional to 20,004.32, 30,006.48 and 7,683.68 is: 11,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.32 : 30,006.48 = 7,683.68 : x
  2. Step 2: Convert to fraction form
    20,004.32/30,006.48 = 7,683.68/x
  3. Step 3: Cross multiply
    20,004.32x = 30,006.48 × 7,683.68
  4. Step 4: Simplify right side
    20,004.32x = 230,560,190.25
  5. Step 5: Solve for x
    x = 230,560,190.25/20,004.32
  6. Step 6: Final answer
    x = 11,525.52

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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.