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Finding the Fourth Proportional to 23,716.88, 32,733.84 and 13,652

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Solution

The fourth proportional to 23,716.88, 32,733.84 and 13,652 is: 18,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716.88 : 32,733.84 = 13,652 : x
  2. Step 2: Convert to fraction form
    23,716.88/32,733.84 = 13,652/x
  3. Step 3: Cross multiply
    23,716.88x = 32,733.84 × 13,652
  4. Step 4: Simplify right side
    23,716.88x = 446,882,383.68
  5. Step 5: Solve for x
    x = 446,882,383.68/23,716.88
  6. Step 6: Final answer
    x = 18,842.38

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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.