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Finding the Fourth Proportional to 12,773.38, 17,617.28 and 8,298.57

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Solution

The fourth proportional to 12,773.38, 17,617.28 and 8,298.57 is: 11,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.38 : 17,617.28 = 8,298.57 : x
  2. Step 2: Convert to fraction form
    12,773.38/17,617.28 = 8,298.57/x
  3. Step 3: Cross multiply
    12,773.38x = 17,617.28 × 8,298.57
  4. Step 4: Simplify right side
    12,773.38x = 146,198,206.31
  5. Step 5: Solve for x
    x = 146,198,206.31/12,773.38
  6. Step 6: Final answer
    x = 11,445.54

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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.