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Finding the Fourth Proportional to 13,944, 19,247.04 and 8,976

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Solution

The fourth proportional to 13,944, 19,247.04 and 8,976 is: 12,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944 : 19,247.04 = 8,976 : x
  2. Step 2: Convert to fraction form
    13,944/19,247.04 = 8,976/x
  3. Step 3: Cross multiply
    13,944x = 19,247.04 × 8,976
  4. Step 4: Simplify right side
    13,944x = 172,761,431.04
  5. Step 5: Solve for x
    x = 172,761,431.04/13,944
  6. Step 6: Final answer
    x = 12,389.66

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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.