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Finding the Fourth Proportional to 11,965.92, 16,489.68 and 8,985.12

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Solution

The fourth proportional to 11,965.92, 16,489.68 and 8,985.12 is: 12,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.92 : 16,489.68 = 8,985.12 : x
  2. Step 2: Convert to fraction form
    11,965.92/16,489.68 = 8,985.12/x
  3. Step 3: Cross multiply
    11,965.92x = 16,489.68 × 8,985.12
  4. Step 4: Simplify right side
    11,965.92x = 148,161,753.56
  5. Step 5: Solve for x
    x = 148,161,753.56/11,965.92
  6. Step 6: Final answer
    x = 12,381.98

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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.