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Finding the Fourth Proportional to 19,764, 29,646 and 5,912.64

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Solution

The fourth proportional to 19,764, 29,646 and 5,912.64 is: 8,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764 : 29,646 = 5,912.64 : x
  2. Step 2: Convert to fraction form
    19,764/29,646 = 5,912.64/x
  3. Step 3: Cross multiply
    19,764x = 29,646 × 5,912.64
  4. Step 4: Simplify right side
    19,764x = 175,286,125.44
  5. Step 5: Solve for x
    x = 175,286,125.44/19,764
  6. Step 6: Final answer
    x = 8,868.96

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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.