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Finding the Fourth Proportional to 12,016.96, 16,581 and 6,710.96

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Solution

The fourth proportional to 12,016.96, 16,581 and 6,710.96 is: 9,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.96 : 16,581 = 6,710.96 : x
  2. Step 2: Convert to fraction form
    12,016.96/16,581 = 6,710.96/x
  3. Step 3: Cross multiply
    12,016.96x = 16,581 × 6,710.96
  4. Step 4: Simplify right side
    12,016.96x = 111,274,427.76
  5. Step 5: Solve for x
    x = 111,274,427.76/12,016.96
  6. Step 6: Final answer
    x = 9,259.78

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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.