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Finding the Fourth Proportional to 17,509.75, 24,163.46 and 11,222.13

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Solution

The fourth proportional to 17,509.75, 24,163.46 and 11,222.13 is: 15,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.75 : 24,163.46 = 11,222.13 : x
  2. Step 2: Convert to fraction form
    17,509.75/24,163.46 = 11,222.13/x
  3. Step 3: Cross multiply
    17,509.75x = 24,163.46 × 11,222.13
  4. Step 4: Simplify right side
    17,509.75x = 271,165,312.44
  5. Step 5: Solve for x
    x = 271,165,312.44/17,509.75
  6. Step 6: Final answer
    x = 15,486.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.