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Finding the Fourth Proportional to 11,377.96, 17,056.53 and 9,634.18

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Solution

The fourth proportional to 11,377.96, 17,056.53 and 9,634.18 is: 14,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.96 : 17,056.53 = 9,634.18 : x
  2. Step 2: Convert to fraction form
    11,377.96/17,056.53 = 9,634.18/x
  3. Step 3: Cross multiply
    11,377.96x = 17,056.53 × 9,634.18
  4. Step 4: Simplify right side
    11,377.96x = 164,325,680.20
  5. Step 5: Solve for x
    x = 164,325,680.20/11,377.96
  6. Step 6: Final answer
    x = 14,442.46

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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.