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Finding the Fourth Proportional to 21,811.96, 32,725.26 and 9,326.68

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Solution

The fourth proportional to 21,811.96, 32,725.26 and 9,326.68 is: 13,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.96 : 32,725.26 = 9,326.68 : x
  2. Step 2: Convert to fraction form
    21,811.96/32,725.26 = 9,326.68/x
  3. Step 3: Cross multiply
    21,811.96x = 32,725.26 × 9,326.68
  4. Step 4: Simplify right side
    21,811.96x = 305,218,027.94
  5. Step 5: Solve for x
    x = 305,218,027.94/21,811.96
  6. Step 6: Final answer
    x = 13,993.15

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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.