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Finding the Fourth Proportional to 17,674.38, 24,390.60 and 9,717.09

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Solution

The fourth proportional to 17,674.38, 24,390.60 and 9,717.09 is: 13,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.38 : 24,390.60 = 9,717.09 : x
  2. Step 2: Convert to fraction form
    17,674.38/24,390.60 = 9,717.09/x
  3. Step 3: Cross multiply
    17,674.38x = 24,390.60 × 9,717.09
  4. Step 4: Simplify right side
    17,674.38x = 237,005,655.35
  5. Step 5: Solve for x
    x = 237,005,655.35/17,674.38
  6. Step 6: Final answer
    x = 13,409.56

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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.