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Finding the Fourth Proportional to 12,813.28, 17,682.34 and 7,148.39

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Solution

The fourth proportional to 12,813.28, 17,682.34 and 7,148.39 is: 9,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.28 : 17,682.34 = 7,148.39 : x
  2. Step 2: Convert to fraction form
    12,813.28/17,682.34 = 7,148.39/x
  3. Step 3: Cross multiply
    12,813.28x = 17,682.34 × 7,148.39
  4. Step 4: Simplify right side
    12,813.28x = 126,400,262.43
  5. Step 5: Solve for x
    x = 126,400,262.43/12,813.28
  6. Step 6: Final answer
    x = 9,864.79

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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.