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Finding the Fourth Proportional to 11,828.96, 17,741.84 and 7,432.96

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Solution

The fourth proportional to 11,828.96, 17,741.84 and 7,432.96 is: 11,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.96 : 17,741.84 = 7,432.96 : x
  2. Step 2: Convert to fraction form
    11,828.96/17,741.84 = 7,432.96/x
  3. Step 3: Cross multiply
    11,828.96x = 17,741.84 × 7,432.96
  4. Step 4: Simplify right side
    11,828.96x = 131,874,387.05
  5. Step 5: Solve for x
    x = 131,874,387.05/11,828.96
  6. Step 6: Final answer
    x = 11,148.43

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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.