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Finding the Fourth Proportional to 12,744.35, 17,595.86 and 7,966.16

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Solution

The fourth proportional to 12,744.35, 17,595.86 and 7,966.16 is: 10,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.35 : 17,595.86 = 7,966.16 : x
  2. Step 2: Convert to fraction form
    12,744.35/17,595.86 = 7,966.16/x
  3. Step 3: Cross multiply
    12,744.35x = 17,595.86 × 7,966.16
  4. Step 4: Simplify right side
    12,744.35x = 140,171,308.29
  5. Step 5: Solve for x
    x = 140,171,308.29/12,744.35
  6. Step 6: Final answer
    x = 10,998.71

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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.