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Finding the Fourth Proportional to 14,696.96, 20,281.84 and 7,982.72

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Solution

The fourth proportional to 14,696.96, 20,281.84 and 7,982.72 is: 11,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.96 : 20,281.84 = 7,982.72 : x
  2. Step 2: Convert to fraction form
    14,696.96/20,281.84 = 7,982.72/x
  3. Step 3: Cross multiply
    14,696.96x = 20,281.84 × 7,982.72
  4. Step 4: Simplify right side
    14,696.96x = 161,904,249.80
  5. Step 5: Solve for x
    x = 161,904,249.80/14,696.96
  6. Step 6: Final answer
    x = 11,016.17

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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.