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Finding the Fourth Proportional to 12,305.30, 16,976.48 and 7,581.38

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Solution

The fourth proportional to 12,305.30, 16,976.48 and 7,581.38 is: 10,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.30 : 16,976.48 = 7,581.38 : x
  2. Step 2: Convert to fraction form
    12,305.30/16,976.48 = 7,581.38/x
  3. Step 3: Cross multiply
    12,305.30x = 16,976.48 × 7,581.38
  4. Step 4: Simplify right side
    12,305.30x = 128,705,145.94
  5. Step 5: Solve for x
    x = 128,705,145.94/12,305.30
  6. Step 6: Final answer
    x = 10,459.33

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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.