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Finding the Fourth Proportional to 12,804.81, 17,669.52 and 7,769.25

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Solution

The fourth proportional to 12,804.81, 17,669.52 and 7,769.25 is: 10,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.81 : 17,669.52 = 7,769.25 : x
  2. Step 2: Convert to fraction form
    12,804.81/17,669.52 = 7,769.25/x
  3. Step 3: Cross multiply
    12,804.81x = 17,669.52 × 7,769.25
  4. Step 4: Simplify right side
    12,804.81x = 137,278,918.26
  5. Step 5: Solve for x
    x = 137,278,918.26/12,804.81
  6. Step 6: Final answer
    x = 10,720.89

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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.