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Finding the Fourth Proportional to 11,587.29, 17,380.90 and 10,022.62

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Solution

The fourth proportional to 11,587.29, 17,380.90 and 10,022.62 is: 15,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.29 : 17,380.90 = 10,022.62 : x
  2. Step 2: Convert to fraction form
    11,587.29/17,380.90 = 10,022.62/x
  3. Step 3: Cross multiply
    11,587.29x = 17,380.90 × 10,022.62
  4. Step 4: Simplify right side
    11,587.29x = 174,202,155.96
  5. Step 5: Solve for x
    x = 174,202,155.96/11,587.29
  6. Step 6: Final answer
    x = 15,033.90

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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.