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Finding the Fourth Proportional to 12,561.81, 17,335.32 and 6,896.59

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Solution

The fourth proportional to 12,561.81, 17,335.32 and 6,896.59 is: 9,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.81 : 17,335.32 = 6,896.59 : x
  2. Step 2: Convert to fraction form
    12,561.81/17,335.32 = 6,896.59/x
  3. Step 3: Cross multiply
    12,561.81x = 17,335.32 × 6,896.59
  4. Step 4: Simplify right side
    12,561.81x = 119,554,594.56
  5. Step 5: Solve for x
    x = 119,554,594.56/12,561.81
  6. Step 6: Final answer
    x = 9,517.31

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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.