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Finding the Fourth Proportional to 11,433.76, 17,147.57 and 4,037.24

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Solution

The fourth proportional to 11,433.76, 17,147.57 and 4,037.24 is: 6,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.76 : 17,147.57 = 4,037.24 : x
  2. Step 2: Convert to fraction form
    11,433.76/17,147.57 = 4,037.24/x
  3. Step 3: Cross multiply
    11,433.76x = 17,147.57 × 4,037.24
  4. Step 4: Simplify right side
    11,433.76x = 69,228,878.19
  5. Step 5: Solve for x
    x = 69,228,878.19/11,433.76
  6. Step 6: Final answer
    x = 6,054.78

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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.