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Finding the Fourth Proportional to 12,932.88, 17,846.28 and 7,342.80

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Solution

The fourth proportional to 12,932.88, 17,846.28 and 7,342.80 is: 10,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.88 : 17,846.28 = 7,342.80 : x
  2. Step 2: Convert to fraction form
    12,932.88/17,846.28 = 7,342.80/x
  3. Step 3: Cross multiply
    12,932.88x = 17,846.28 × 7,342.80
  4. Step 4: Simplify right side
    12,932.88x = 131,041,664.78
  5. Step 5: Solve for x
    x = 131,041,664.78/12,932.88
  6. Step 6: Final answer
    x = 10,132.44

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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.