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Finding the Fourth Proportional to 12,932.94, 19,405.17 and 6,775.50

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Solution

The fourth proportional to 12,932.94, 19,405.17 and 6,775.50 is: 10,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.94 : 19,405.17 = 6,775.50 : x
  2. Step 2: Convert to fraction form
    12,932.94/19,405.17 = 6,775.50/x
  3. Step 3: Cross multiply
    12,932.94x = 19,405.17 × 6,775.50
  4. Step 4: Simplify right side
    12,932.94x = 131,479,729.34
  5. Step 5: Solve for x
    x = 131,479,729.34/12,932.94
  6. Step 6: Final answer
    x = 10,166.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.