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Finding the Fourth Proportional to 14,310.80, 21,474.32 and 5,546.32

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Solution

The fourth proportional to 14,310.80, 21,474.32 and 5,546.32 is: 8,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.80 : 21,474.32 = 5,546.32 : x
  2. Step 2: Convert to fraction form
    14,310.80/21,474.32 = 5,546.32/x
  3. Step 3: Cross multiply
    14,310.80x = 21,474.32 × 5,546.32
  4. Step 4: Simplify right side
    14,310.80x = 119,103,450.50
  5. Step 5: Solve for x
    x = 119,103,450.50/14,310.80
  6. Step 6: Final answer
    x = 8,322.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.