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Finding the Fourth Proportional to 12,271.50, 16,934.67 and 6,682.50

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Solution

The fourth proportional to 12,271.50, 16,934.67 and 6,682.50 is: 9,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.50 : 16,934.67 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    12,271.50/16,934.67 = 6,682.50/x
  3. Step 3: Cross multiply
    12,271.50x = 16,934.67 × 6,682.50
  4. Step 4: Simplify right side
    12,271.50x = 113,165,932.28
  5. Step 5: Solve for x
    x = 113,165,932.28/12,271.50
  6. Step 6: Final answer
    x = 9,221.85

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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.