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Finding the Fourth Proportional to 13,758.28, 18,976.71 and 8,456.02

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Solution

The fourth proportional to 13,758.28, 18,976.71 and 8,456.02 is: 11,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.28 : 18,976.71 = 8,456.02 : x
  2. Step 2: Convert to fraction form
    13,758.28/18,976.71 = 8,456.02/x
  3. Step 3: Cross multiply
    13,758.28x = 18,976.71 × 8,456.02
  4. Step 4: Simplify right side
    13,758.28x = 160,467,439.29
  5. Step 5: Solve for x
    x = 160,467,439.29/13,758.28
  6. Step 6: Final answer
    x = 11,663.34

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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.