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Finding the Fourth Proportional to 14,951.16, 20,640.51 and 11,586.42

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Solution

The fourth proportional to 14,951.16, 20,640.51 and 11,586.42 is: 15,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.16 : 20,640.51 = 11,586.42 : x
  2. Step 2: Convert to fraction form
    14,951.16/20,640.51 = 11,586.42/x
  3. Step 3: Cross multiply
    14,951.16x = 20,640.51 × 11,586.42
  4. Step 4: Simplify right side
    14,951.16x = 239,149,617.87
  5. Step 5: Solve for x
    x = 239,149,617.87/14,951.16
  6. Step 6: Final answer
    x = 15,995.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.