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Finding the Fourth Proportional to 16,000.80, 23,999.30 and 4,314.94

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Solution

The fourth proportional to 16,000.80, 23,999.30 and 4,314.94 is: 6,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.80 : 23,999.30 = 4,314.94 : x
  2. Step 2: Convert to fraction form
    16,000.80/23,999.30 = 4,314.94/x
  3. Step 3: Cross multiply
    16,000.80x = 23,999.30 × 4,314.94
  4. Step 4: Simplify right side
    16,000.80x = 103,555,539.54
  5. Step 5: Solve for x
    x = 103,555,539.54/16,000.80
  6. Step 6: Final answer
    x = 6,471.90

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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.