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Finding the Fourth Proportional to 23,811.90, 32,858.10 and 13,201.31

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Solution

The fourth proportional to 23,811.90, 32,858.10 and 13,201.31 is: 18,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.90 : 32,858.10 = 13,201.31 : x
  2. Step 2: Convert to fraction form
    23,811.90/32,858.10 = 13,201.31/x
  3. Step 3: Cross multiply
    23,811.90x = 32,858.10 × 13,201.31
  4. Step 4: Simplify right side
    23,811.90x = 433,769,799.82
  5. Step 5: Solve for x
    x = 433,769,799.82/23,811.90
  6. Step 6: Final answer
    x = 18,216.51

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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.