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Finding the Fourth Proportional to 12,119.58, 16,729.79 and 7,642.44

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Solution

The fourth proportional to 12,119.58, 16,729.79 and 7,642.44 is: 10,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.58 : 16,729.79 = 7,642.44 : x
  2. Step 2: Convert to fraction form
    12,119.58/16,729.79 = 7,642.44/x
  3. Step 3: Cross multiply
    12,119.58x = 16,729.79 × 7,642.44
  4. Step 4: Simplify right side
    12,119.58x = 127,856,378.08
  5. Step 5: Solve for x
    x = 127,856,378.08/12,119.58
  6. Step 6: Final answer
    x = 10,549.57

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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.