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Finding the Fourth Proportional to 12,768.82, 17,621.31 and 7,733.95

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Solution

The fourth proportional to 12,768.82, 17,621.31 and 7,733.95 is: 10,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.82 : 17,621.31 = 7,733.95 : x
  2. Step 2: Convert to fraction form
    12,768.82/17,621.31 = 7,733.95/x
  3. Step 3: Cross multiply
    12,768.82x = 17,621.31 × 7,733.95
  4. Step 4: Simplify right side
    12,768.82x = 136,282,330.47
  5. Step 5: Solve for x
    x = 136,282,330.47/12,768.82
  6. Step 6: Final answer
    x = 10,673.06

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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.