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Finding the Fourth Proportional to 11,732.31, 17,632.89 and 9,770.49

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Solution

The fourth proportional to 11,732.31, 17,632.89 and 9,770.49 is: 14,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.31 : 17,632.89 = 9,770.49 : x
  2. Step 2: Convert to fraction form
    11,732.31/17,632.89 = 9,770.49/x
  3. Step 3: Cross multiply
    11,732.31x = 17,632.89 × 9,770.49
  4. Step 4: Simplify right side
    11,732.31x = 172,281,975.42
  5. Step 5: Solve for x
    x = 172,281,975.42/11,732.31
  6. Step 6: Final answer
    x = 14,684.40

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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.