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Finding the Fourth Proportional to 12,768.39, 17,621.64 and 7,733.88

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Solution

The fourth proportional to 12,768.39, 17,621.64 and 7,733.88 is: 10,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.39 : 17,621.64 = 7,733.88 : x
  2. Step 2: Convert to fraction form
    12,768.39/17,621.64 = 7,733.88/x
  3. Step 3: Cross multiply
    12,768.39x = 17,621.64 × 7,733.88
  4. Step 4: Simplify right side
    12,768.39x = 136,283,649.16
  5. Step 5: Solve for x
    x = 136,283,649.16/12,768.39
  6. Step 6: Final answer
    x = 10,673.52

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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.