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Finding the Fourth Proportional to 23,212.68, 34,843.62 and 14,453.76

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Solution

The fourth proportional to 23,212.68, 34,843.62 and 14,453.76 is: 21,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.68 : 34,843.62 = 14,453.76 : x
  2. Step 2: Convert to fraction form
    23,212.68/34,843.62 = 14,453.76/x
  3. Step 3: Cross multiply
    23,212.68x = 34,843.62 × 14,453.76
  4. Step 4: Simplify right side
    23,212.68x = 503,621,321.01
  5. Step 5: Solve for x
    x = 503,621,321.01/23,212.68
  6. Step 6: Final answer
    x = 21,695.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.