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Finding the Fourth Proportional to 12,804.06, 17,670.76 and 7,769.56

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Solution

The fourth proportional to 12,804.06, 17,670.76 and 7,769.56 is: 10,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.06 : 17,670.76 = 7,769.56 : x
  2. Step 2: Convert to fraction form
    12,804.06/17,670.76 = 7,769.56/x
  3. Step 3: Cross multiply
    12,804.06x = 17,670.76 × 7,769.56
  4. Step 4: Simplify right side
    12,804.06x = 137,293,977.04
  5. Step 5: Solve for x
    x = 137,293,977.04/12,804.06
  6. Step 6: Final answer
    x = 10,722.69

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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.