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Finding the Fourth Proportional to 12,215.84, 16,857.92 and 6,910.54

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Solution

The fourth proportional to 12,215.84, 16,857.92 and 6,910.54 is: 9,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.84 : 16,857.92 = 6,910.54 : x
  2. Step 2: Convert to fraction form
    12,215.84/16,857.92 = 6,910.54/x
  3. Step 3: Cross multiply
    12,215.84x = 16,857.92 × 6,910.54
  4. Step 4: Simplify right side
    12,215.84x = 116,497,253.78
  5. Step 5: Solve for x
    x = 116,497,253.78/12,215.84
  6. Step 6: Final answer
    x = 9,536.58

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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.