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Finding the Fourth Proportional to 12,932.06, 17,846.27 and 7,343.06

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Solution

The fourth proportional to 12,932.06, 17,846.27 and 7,343.06 is: 10,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.06 : 17,846.27 = 7,343.06 : x
  2. Step 2: Convert to fraction form
    12,932.06/17,846.27 = 7,343.06/x
  3. Step 3: Cross multiply
    12,932.06x = 17,846.27 × 7,343.06
  4. Step 4: Simplify right side
    12,932.06x = 131,046,239.29
  5. Step 5: Solve for x
    x = 131,046,239.29/12,932.06
  6. Step 6: Final answer
    x = 10,133.44

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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.