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Finding the Fourth Proportional to 12,778.49, 17,630.77 and 7,672.68

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Solution

The fourth proportional to 12,778.49, 17,630.77 and 7,672.68 is: 10,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.49 : 17,630.77 = 7,672.68 : x
  2. Step 2: Convert to fraction form
    12,778.49/17,630.77 = 7,672.68/x
  3. Step 3: Cross multiply
    12,778.49x = 17,630.77 × 7,672.68
  4. Step 4: Simplify right side
    12,778.49x = 135,275,256.36
  5. Step 5: Solve for x
    x = 135,275,256.36/12,778.49
  6. Step 6: Final answer
    x = 10,586.17

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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.