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Finding the Fourth Proportional to 23,810.50, 32,858.49 and 13,201.75

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Solution

The fourth proportional to 23,810.50, 32,858.49 and 13,201.75 is: 18,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.50 : 32,858.49 = 13,201.75 : x
  2. Step 2: Convert to fraction form
    23,810.50/32,858.49 = 13,201.75/x
  3. Step 3: Cross multiply
    23,810.50x = 32,858.49 × 13,201.75
  4. Step 4: Simplify right side
    23,810.50x = 433,789,570.36
  5. Step 5: Solve for x
    x = 433,789,570.36/23,810.50
  6. Step 6: Final answer
    x = 18,218.42

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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.