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Finding the Fourth Proportional to 12,271.12, 16,934.16 and 6,682

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Solution

The fourth proportional to 12,271.12, 16,934.16 and 6,682 is: 9,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.12 : 16,934.16 = 6,682 : x
  2. Step 2: Convert to fraction form
    12,271.12/16,934.16 = 6,682/x
  3. Step 3: Cross multiply
    12,271.12x = 16,934.16 × 6,682
  4. Step 4: Simplify right side
    12,271.12x = 113,154,057.12
  5. Step 5: Solve for x
    x = 113,154,057.12/12,271.12
  6. Step 6: Final answer
    x = 9,221.17

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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.