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Finding the Fourth Proportional to 16,311.36, 24,453.18 and 6,457.56

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Solution

The fourth proportional to 16,311.36, 24,453.18 and 6,457.56 is: 9,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.36 : 24,453.18 = 6,457.56 : x
  2. Step 2: Convert to fraction form
    16,311.36/24,453.18 = 6,457.56/x
  3. Step 3: Cross multiply
    16,311.36x = 24,453.18 × 6,457.56
  4. Step 4: Simplify right side
    16,311.36x = 157,907,877.04
  5. Step 5: Solve for x
    x = 157,907,877.04/16,311.36
  6. Step 6: Final answer
    x = 9,680.85

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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.