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Finding the Fourth Proportional to 12,775.75, 17,629.31 and 9,420.37

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Solution

The fourth proportional to 12,775.75, 17,629.31 and 9,420.37 is: 12,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.75 : 17,629.31 = 9,420.37 : x
  2. Step 2: Convert to fraction form
    12,775.75/17,629.31 = 9,420.37/x
  3. Step 3: Cross multiply
    12,775.75x = 17,629.31 × 9,420.37
  4. Step 4: Simplify right side
    12,775.75x = 166,074,623.04
  5. Step 5: Solve for x
    x = 166,074,623.04/12,775.75
  6. Step 6: Final answer
    x = 12,999.21

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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.