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Finding the Fourth Proportional to 12,215.70, 16,854.75 and 6,910.20

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Solution

The fourth proportional to 12,215.70, 16,854.75 and 6,910.20 is: 9,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.70 : 16,854.75 = 6,910.20 : x
  2. Step 2: Convert to fraction form
    12,215.70/16,854.75 = 6,910.20/x
  3. Step 3: Cross multiply
    12,215.70x = 16,854.75 × 6,910.20
  4. Step 4: Simplify right side
    12,215.70x = 116,469,693.45
  5. Step 5: Solve for x
    x = 116,469,693.45/12,215.70
  6. Step 6: Final answer
    x = 9,534.43

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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.