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Finding the Fourth Proportional to 16,264.32, 24,379.74 and 6,399.60

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Solution

The fourth proportional to 16,264.32, 24,379.74 and 6,399.60 is: 9,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.32 : 24,379.74 = 6,399.60 : x
  2. Step 2: Convert to fraction form
    16,264.32/24,379.74 = 6,399.60/x
  3. Step 3: Cross multiply
    16,264.32x = 24,379.74 × 6,399.60
  4. Step 4: Simplify right side
    16,264.32x = 156,020,584.10
  5. Step 5: Solve for x
    x = 156,020,584.10/16,264.32
  6. Step 6: Final answer
    x = 9,592.81

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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.