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Finding the Fourth Proportional to 14,814.26, 20,448.82 and 8,529.14

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Solution

The fourth proportional to 14,814.26, 20,448.82 and 8,529.14 is: 11,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.26 : 20,448.82 = 8,529.14 : x
  2. Step 2: Convert to fraction form
    14,814.26/20,448.82 = 8,529.14/x
  3. Step 3: Cross multiply
    14,814.26x = 20,448.82 × 8,529.14
  4. Step 4: Simplify right side
    14,814.26x = 174,410,725.05
  5. Step 5: Solve for x
    x = 174,410,725.05/14,814.26
  6. Step 6: Final answer
    x = 11,773.17

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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.