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Finding the Fourth Proportional to 11,824.90, 17,737 and 3,059.48

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Solution

The fourth proportional to 11,824.90, 17,737 and 3,059.48 is: 4,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.90 : 17,737 = 3,059.48 : x
  2. Step 2: Convert to fraction form
    11,824.90/17,737 = 3,059.48/x
  3. Step 3: Cross multiply
    11,824.90x = 17,737 × 3,059.48
  4. Step 4: Simplify right side
    11,824.90x = 54,265,996.76
  5. Step 5: Solve for x
    x = 54,265,996.76/11,824.90
  6. Step 6: Final answer
    x = 4,589.13

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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.