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Finding the Fourth Proportional to 18,964.42, 28,450 and 6,485.83

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Solution

The fourth proportional to 18,964.42, 28,450 and 6,485.83 is: 9,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,964.42 : 28,450 = 6,485.83 : x
  2. Step 2: Convert to fraction form
    18,964.42/28,450 = 6,485.83/x
  3. Step 3: Cross multiply
    18,964.42x = 28,450 × 6,485.83
  4. Step 4: Simplify right side
    18,964.42x = 184,521,863.50
  5. Step 5: Solve for x
    x = 184,521,863.50/18,964.42
  6. Step 6: Final answer
    x = 9,729.90

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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.