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Finding the Fourth Proportional to 12,960.94, 17,884.72 and 7,295.58

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Solution

The fourth proportional to 12,960.94, 17,884.72 and 7,295.58 is: 10,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.94 : 17,884.72 = 7,295.58 : x
  2. Step 2: Convert to fraction form
    12,960.94/17,884.72 = 7,295.58/x
  3. Step 3: Cross multiply
    12,960.94x = 17,884.72 × 7,295.58
  4. Step 4: Simplify right side
    12,960.94x = 130,479,405.54
  5. Step 5: Solve for x
    x = 130,479,405.54/12,960.94
  6. Step 6: Final answer
    x = 10,067.13

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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.