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Finding the Fourth Proportional to 17,568.92, 24,245.12 and 9,611.15

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Solution

The fourth proportional to 17,568.92, 24,245.12 and 9,611.15 is: 13,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.92 : 24,245.12 = 9,611.15 : x
  2. Step 2: Convert to fraction form
    17,568.92/24,245.12 = 9,611.15/x
  3. Step 3: Cross multiply
    17,568.92x = 24,245.12 × 9,611.15
  4. Step 4: Simplify right side
    17,568.92x = 233,023,387.89
  5. Step 5: Solve for x
    x = 233,023,387.89/17,568.92
  6. Step 6: Final answer
    x = 13,263.39

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Why These Related Problems?

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