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Finding the Fourth Proportional to 14,162, 21,247.68 and 7,586.72

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Solution

The fourth proportional to 14,162, 21,247.68 and 7,586.72 is: 11,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162 : 21,247.68 = 7,586.72 : x
  2. Step 2: Convert to fraction form
    14,162/21,247.68 = 7,586.72/x
  3. Step 3: Cross multiply
    14,162x = 21,247.68 × 7,586.72
  4. Step 4: Simplify right side
    14,162x = 161,200,198.81
  5. Step 5: Solve for x
    x = 161,200,198.81/14,162
  6. Step 6: Final answer
    x = 11,382.59

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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.