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Finding the Fourth Proportional to 12,701.38, 17,523.82 and 8,228.56

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Solution

The fourth proportional to 12,701.38, 17,523.82 and 8,228.56 is: 11,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.38 : 17,523.82 = 8,228.56 : x
  2. Step 2: Convert to fraction form
    12,701.38/17,523.82 = 8,228.56/x
  3. Step 3: Cross multiply
    12,701.38x = 17,523.82 × 8,228.56
  4. Step 4: Simplify right side
    12,701.38x = 144,195,804.30
  5. Step 5: Solve for x
    x = 144,195,804.30/12,701.38
  6. Step 6: Final answer
    x = 11,352.77

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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.