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Finding the Fourth Proportional to 14,286.83, 21,444.05 and 6,896.48

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Solution

The fourth proportional to 14,286.83, 21,444.05 and 6,896.48 is: 10,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.83 : 21,444.05 = 6,896.48 : x
  2. Step 2: Convert to fraction form
    14,286.83/21,444.05 = 6,896.48/x
  3. Step 3: Cross multiply
    14,286.83x = 21,444.05 × 6,896.48
  4. Step 4: Simplify right side
    14,286.83x = 147,888,371.96
  5. Step 5: Solve for x
    x = 147,888,371.96/14,286.83
  6. Step 6: Final answer
    x = 10,351.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.