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Finding the Fourth Proportional to 14,284.35, 21,434.99 and 6,896.43

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Solution

The fourth proportional to 14,284.35, 21,434.99 and 6,896.43 is: 10,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.35 : 21,434.99 = 6,896.43 : x
  2. Step 2: Convert to fraction form
    14,284.35/21,434.99 = 6,896.43/x
  3. Step 3: Cross multiply
    14,284.35x = 21,434.99 × 6,896.43
  4. Step 4: Simplify right side
    14,284.35x = 147,824,873.60
  5. Step 5: Solve for x
    x = 147,824,873.60/14,284.35
  6. Step 6: Final answer
    x = 10,348.73

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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.