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Finding the Fourth Proportional to 12,931.97, 17,846.14 and 7,342.97

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Solution

The fourth proportional to 12,931.97, 17,846.14 and 7,342.97 is: 10,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.97 : 17,846.14 = 7,342.97 : x
  2. Step 2: Convert to fraction form
    12,931.97/17,846.14 = 7,342.97/x
  3. Step 3: Cross multiply
    12,931.97x = 17,846.14 × 7,342.97
  4. Step 4: Simplify right side
    12,931.97x = 131,043,616.20
  5. Step 5: Solve for x
    x = 131,043,616.20/12,931.97
  6. Step 6: Final answer
    x = 10,133.31

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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.