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Finding the Fourth Proportional to 12,804.37, 17,669.75 and 7,139.09

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Solution

The fourth proportional to 12,804.37, 17,669.75 and 7,139.09 is: 9,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.37 : 17,669.75 = 7,139.09 : x
  2. Step 2: Convert to fraction form
    12,804.37/17,669.75 = 7,139.09/x
  3. Step 3: Cross multiply
    12,804.37x = 17,669.75 × 7,139.09
  4. Step 4: Simplify right side
    12,804.37x = 126,145,944.01
  5. Step 5: Solve for x
    x = 126,145,944.01/12,804.37
  6. Step 6: Final answer
    x = 9,851.79

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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.