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Finding the Fourth Proportional to 17,182.27, 23,713.50 and 9,630.64

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Solution

The fourth proportional to 17,182.27, 23,713.50 and 9,630.64 is: 13,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.27 : 23,713.50 = 9,630.64 : x
  2. Step 2: Convert to fraction form
    17,182.27/23,713.50 = 9,630.64/x
  3. Step 3: Cross multiply
    17,182.27x = 23,713.50 × 9,630.64
  4. Step 4: Simplify right side
    17,182.27x = 228,376,181.64
  5. Step 5: Solve for x
    x = 228,376,181.64/17,182.27
  6. Step 6: Final answer
    x = 13,291.39

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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.