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Finding the Fourth Proportional to 16,309.45, 24,457.31 and 5,213.16

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Solution

The fourth proportional to 16,309.45, 24,457.31 and 5,213.16 is: 7,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.45 : 24,457.31 = 5,213.16 : x
  2. Step 2: Convert to fraction form
    16,309.45/24,457.31 = 5,213.16/x
  3. Step 3: Cross multiply
    16,309.45x = 24,457.31 × 5,213.16
  4. Step 4: Simplify right side
    16,309.45x = 127,499,863.68
  5. Step 5: Solve for x
    x = 127,499,863.68/16,309.45
  6. Step 6: Final answer
    x = 7,817.54

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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.