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Finding the Fourth Proportional to 18,652.32, 27,977.54 and 6,964.65

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Solution

The fourth proportional to 18,652.32, 27,977.54 and 6,964.65 is: 10,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.32 : 27,977.54 = 6,964.65 : x
  2. Step 2: Convert to fraction form
    18,652.32/27,977.54 = 6,964.65/x
  3. Step 3: Cross multiply
    18,652.32x = 27,977.54 × 6,964.65
  4. Step 4: Simplify right side
    18,652.32x = 194,853,739.14
  5. Step 5: Solve for x
    x = 194,853,739.14/18,652.32
  6. Step 6: Final answer
    x = 10,446.62

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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.