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Finding the Fourth Proportional to 16,000.64, 23,998.80 and 4,314.80

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Solution

The fourth proportional to 16,000.64, 23,998.80 and 4,314.80 is: 6,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.64 : 23,998.80 = 4,314.80 : x
  2. Step 2: Convert to fraction form
    16,000.64/23,998.80 = 4,314.80/x
  3. Step 3: Cross multiply
    16,000.64x = 23,998.80 × 4,314.80
  4. Step 4: Simplify right side
    16,000.64x = 103,550,022.24
  5. Step 5: Solve for x
    x = 103,550,022.24/16,000.64
  6. Step 6: Final answer
    x = 6,471.62

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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.