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Finding the Fourth Proportional to 11,732.81, 17,633.64 and 9,770.99

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Solution

The fourth proportional to 11,732.81, 17,633.64 and 9,770.99 is: 14,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.81 : 17,633.64 = 9,770.99 : x
  2. Step 2: Convert to fraction form
    11,732.81/17,633.64 = 9,770.99/x
  3. Step 3: Cross multiply
    11,732.81x = 17,633.64 × 9,770.99
  4. Step 4: Simplify right side
    11,732.81x = 172,298,120.10
  5. Step 5: Solve for x
    x = 172,298,120.10/11,732.81
  6. Step 6: Final answer
    x = 14,685.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.