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Finding the Fourth Proportional to 13,645.92, 18,824.47 and 7,976.96

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Solution

The fourth proportional to 13,645.92, 18,824.47 and 7,976.96 is: 11,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.92 : 18,824.47 = 7,976.96 : x
  2. Step 2: Convert to fraction form
    13,645.92/18,824.47 = 7,976.96/x
  3. Step 3: Cross multiply
    13,645.92x = 18,824.47 × 7,976.96
  4. Step 4: Simplify right side
    13,645.92x = 150,162,044.21
  5. Step 5: Solve for x
    x = 150,162,044.21/13,645.92
  6. Step 6: Final answer
    x = 11,004.17

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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.