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Finding the Fourth Proportional to 14,916.75, 20,584.38 and 8,947.26

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Solution

The fourth proportional to 14,916.75, 20,584.38 and 8,947.26 is: 12,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.75 : 20,584.38 = 8,947.26 : x
  2. Step 2: Convert to fraction form
    14,916.75/20,584.38 = 8,947.26/x
  3. Step 3: Cross multiply
    14,916.75x = 20,584.38 × 8,947.26
  4. Step 4: Simplify right side
    14,916.75x = 184,173,799.80
  5. Step 5: Solve for x
    x = 184,173,799.80/14,916.75
  6. Step 6: Final answer
    x = 12,346.78

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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.