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Finding the Fourth Proportional to 14,343.96, 21,517.14 and 5,457

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Solution

The fourth proportional to 14,343.96, 21,517.14 and 5,457 is: 8,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.96 : 21,517.14 = 5,457 : x
  2. Step 2: Convert to fraction form
    14,343.96/21,517.14 = 5,457/x
  3. Step 3: Cross multiply
    14,343.96x = 21,517.14 × 5,457
  4. Step 4: Simplify right side
    14,343.96x = 117,419,032.98
  5. Step 5: Solve for x
    x = 117,419,032.98/14,343.96
  6. Step 6: Final answer
    x = 8,185.96

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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.