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Finding the Fourth Proportional to 12,727.31, 17,563.64 and 7,759.31

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Solution

The fourth proportional to 12,727.31, 17,563.64 and 7,759.31 is: 10,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.31 : 17,563.64 = 7,759.31 : x
  2. Step 2: Convert to fraction form
    12,727.31/17,563.64 = 7,759.31/x
  3. Step 3: Cross multiply
    12,727.31x = 17,563.64 × 7,759.31
  4. Step 4: Simplify right side
    12,727.31x = 136,281,688.69
  5. Step 5: Solve for x
    x = 136,281,688.69/12,727.31
  6. Step 6: Final answer
    x = 10,707.82

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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.