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Finding the Fourth Proportional to 23,858.31, 32,917.82 and 14,914.92

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Solution

The fourth proportional to 23,858.31, 32,917.82 and 14,914.92 is: 20,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.31 : 32,917.82 = 14,914.92 : x
  2. Step 2: Convert to fraction form
    23,858.31/32,917.82 = 14,914.92/x
  3. Step 3: Cross multiply
    23,858.31x = 32,917.82 × 14,914.92
  4. Step 4: Simplify right side
    23,858.31x = 490,966,577.30
  5. Step 5: Solve for x
    x = 490,966,577.30/23,858.31
  6. Step 6: Final answer
    x = 20,578.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.