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Finding the Fourth Proportional to 14,722.56, 20,321.28 and 8,436.96

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Solution

The fourth proportional to 14,722.56, 20,321.28 and 8,436.96 is: 11,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.56 : 20,321.28 = 8,436.96 : x
  2. Step 2: Convert to fraction form
    14,722.56/20,321.28 = 8,436.96/x
  3. Step 3: Cross multiply
    14,722.56x = 20,321.28 × 8,436.96
  4. Step 4: Simplify right side
    14,722.56x = 171,449,826.51
  5. Step 5: Solve for x
    x = 171,449,826.51/14,722.56
  6. Step 6: Final answer
    x = 11,645.38

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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.