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Finding the Fourth Proportional to 23,241.37, 32,075.82 and 13,809.94

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Solution

The fourth proportional to 23,241.37, 32,075.82 and 13,809.94 is: 19,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.37 : 32,075.82 = 13,809.94 : x
  2. Step 2: Convert to fraction form
    23,241.37/32,075.82 = 13,809.94/x
  3. Step 3: Cross multiply
    23,241.37x = 32,075.82 × 13,809.94
  4. Step 4: Simplify right side
    23,241.37x = 442,965,149.65
  5. Step 5: Solve for x
    x = 442,965,149.65/23,241.37
  6. Step 6: Final answer
    x = 19,059.34

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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.