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Finding the Fourth Proportional to 16,168.26, 24,252.36 and 6,314.46

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Solution

The fourth proportional to 16,168.26, 24,252.36 and 6,314.46 is: 9,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,168.26 : 24,252.36 = 6,314.46 : x
  2. Step 2: Convert to fraction form
    16,168.26/24,252.36 = 6,314.46/x
  3. Step 3: Cross multiply
    16,168.26x = 24,252.36 × 6,314.46
  4. Step 4: Simplify right side
    16,168.26x = 153,140,557.13
  5. Step 5: Solve for x
    x = 153,140,557.13/16,168.26
  6. Step 6: Final answer
    x = 9,471.68

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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.