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Finding the Fourth Proportional to 12,768.32, 17,628.96 and 9,411.52

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Solution

The fourth proportional to 12,768.32, 17,628.96 and 9,411.52 is: 12,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.32 : 17,628.96 = 9,411.52 : x
  2. Step 2: Convert to fraction form
    12,768.32/17,628.96 = 9,411.52/x
  3. Step 3: Cross multiply
    12,768.32x = 17,628.96 × 9,411.52
  4. Step 4: Simplify right side
    12,768.32x = 165,915,309.62
  5. Step 5: Solve for x
    x = 165,915,309.62/12,768.32
  6. Step 6: Final answer
    x = 12,994.29

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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.