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Finding the Fourth Proportional to 13,344, 18,414.72 and 7,456

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Solution

The fourth proportional to 13,344, 18,414.72 and 7,456 is: 10,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344 : 18,414.72 = 7,456 : x
  2. Step 2: Convert to fraction form
    13,344/18,414.72 = 7,456/x
  3. Step 3: Cross multiply
    13,344x = 18,414.72 × 7,456
  4. Step 4: Simplify right side
    13,344x = 137,300,152.32
  5. Step 5: Solve for x
    x = 137,300,152.32/13,344
  6. Step 6: Final answer
    x = 10,289.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.