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Finding the Fourth Proportional to 13,002, 17,945.96 and 7,416.24

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Solution

The fourth proportional to 13,002, 17,945.96 and 7,416.24 is: 10,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002 : 17,945.96 = 7,416.24 : x
  2. Step 2: Convert to fraction form
    13,002/17,945.96 = 7,416.24/x
  3. Step 3: Cross multiply
    13,002x = 17,945.96 × 7,416.24
  4. Step 4: Simplify right side
    13,002x = 133,091,546.39
  5. Step 5: Solve for x
    x = 133,091,546.39/13,002
  6. Step 6: Final answer
    x = 10,236.24

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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.