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Finding the Fourth Proportional to 16,000.26, 23,996.76 and 4,314.42

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Solution

The fourth proportional to 16,000.26, 23,996.76 and 4,314.42 is: 6,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.26 : 23,996.76 = 4,314.42 : x
  2. Step 2: Convert to fraction form
    16,000.26/23,996.76 = 4,314.42/x
  3. Step 3: Cross multiply
    16,000.26x = 23,996.76 × 4,314.42
  4. Step 4: Simplify right side
    16,000.26x = 103,532,101.28
  5. Step 5: Solve for x
    x = 103,532,101.28/16,000.26
  6. Step 6: Final answer
    x = 6,470.65

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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.