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Finding the Fourth Proportional to 12,271.48, 16,934.52 and 6,682.48

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Solution

The fourth proportional to 12,271.48, 16,934.52 and 6,682.48 is: 9,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.48 : 16,934.52 = 6,682.48 : x
  2. Step 2: Convert to fraction form
    12,271.48/16,934.52 = 6,682.48/x
  3. Step 3: Cross multiply
    12,271.48x = 16,934.52 × 6,682.48
  4. Step 4: Simplify right side
    12,271.48x = 113,164,591.21
  5. Step 5: Solve for x
    x = 113,164,591.21/12,271.48
  6. Step 6: Final answer
    x = 9,221.76

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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.