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Finding the Fourth Proportional to 17,374.69, 23,977.11 and 9,416.91

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Solution

The fourth proportional to 17,374.69, 23,977.11 and 9,416.91 is: 12,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.69 : 23,977.11 = 9,416.91 : x
  2. Step 2: Convert to fraction form
    17,374.69/23,977.11 = 9,416.91/x
  3. Step 3: Cross multiply
    17,374.69x = 23,977.11 × 9,416.91
  4. Step 4: Simplify right side
    17,374.69x = 225,790,286.93
  5. Step 5: Solve for x
    x = 225,790,286.93/17,374.69
  6. Step 6: Final answer
    x = 12,995.36

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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.