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Finding the Fourth Proportional to 17,561.42, 24,234.77 and 9,604.39

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Solution

The fourth proportional to 17,561.42, 24,234.77 and 9,604.39 is: 13,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.42 : 24,234.77 = 9,604.39 : x
  2. Step 2: Convert to fraction form
    17,561.42/24,234.77 = 9,604.39/x
  3. Step 3: Cross multiply
    17,561.42x = 24,234.77 × 9,604.39
  4. Step 4: Simplify right side
    17,561.42x = 232,760,146.06
  5. Step 5: Solve for x
    x = 232,760,146.06/17,561.42
  6. Step 6: Final answer
    x = 13,254.06

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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.