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Finding the Fourth Proportional to 20,427.36, 30,640.32 and 6,576

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Solution

The fourth proportional to 20,427.36, 30,640.32 and 6,576 is: 9,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427.36 : 30,640.32 = 6,576 : x
  2. Step 2: Convert to fraction form
    20,427.36/30,640.32 = 6,576/x
  3. Step 3: Cross multiply
    20,427.36x = 30,640.32 × 6,576
  4. Step 4: Simplify right side
    20,427.36x = 201,490,744.32
  5. Step 5: Solve for x
    x = 201,490,744.32/20,427.36
  6. Step 6: Final answer
    x = 9,863.77

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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.