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Finding the Fourth Proportional to 17,614.75, 24,310.85 and 10,902.54

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Solution

The fourth proportional to 17,614.75, 24,310.85 and 10,902.54 is: 15,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.75 : 24,310.85 = 10,902.54 : x
  2. Step 2: Convert to fraction form
    17,614.75/24,310.85 = 10,902.54/x
  3. Step 3: Cross multiply
    17,614.75x = 24,310.85 × 10,902.54
  4. Step 4: Simplify right side
    17,614.75x = 265,050,014.56
  5. Step 5: Solve for x
    x = 265,050,014.56/17,614.75
  6. Step 6: Final answer
    x = 15,047.05

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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.