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Finding the Fourth Proportional to 13,640.32, 20,453.12 and 6,236.40

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Solution

The fourth proportional to 13,640.32, 20,453.12 and 6,236.40 is: 9,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.32 : 20,453.12 = 6,236.40 : x
  2. Step 2: Convert to fraction form
    13,640.32/20,453.12 = 6,236.40/x
  3. Step 3: Cross multiply
    13,640.32x = 20,453.12 × 6,236.40
  4. Step 4: Simplify right side
    13,640.32x = 127,553,837.57
  5. Step 5: Solve for x
    x = 127,553,837.57/13,640.32
  6. Step 6: Final answer
    x = 9,351.23

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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.