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Finding the Fourth Proportional to 16,321.20, 24,474.60 and 6,457.20

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Solution

The fourth proportional to 16,321.20, 24,474.60 and 6,457.20 is: 9,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.20 : 24,474.60 = 6,457.20 : x
  2. Step 2: Convert to fraction form
    16,321.20/24,474.60 = 6,457.20/x
  3. Step 3: Cross multiply
    16,321.20x = 24,474.60 × 6,457.20
  4. Step 4: Simplify right side
    16,321.20x = 158,037,387.12
  5. Step 5: Solve for x
    x = 158,037,387.12/16,321.20
  6. Step 6: Final answer
    x = 9,682.95

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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.