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Finding the Fourth Proportional to 12,805.12, 17,676.18 and 9,033.76

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Solution

The fourth proportional to 12,805.12, 17,676.18 and 9,033.76 is: 12,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.12 : 17,676.18 = 9,033.76 : x
  2. Step 2: Convert to fraction form
    12,805.12/17,676.18 = 9,033.76/x
  3. Step 3: Cross multiply
    12,805.12x = 17,676.18 × 9,033.76
  4. Step 4: Simplify right side
    12,805.12x = 159,682,367.84
  5. Step 5: Solve for x
    x = 159,682,367.84/12,805.12
  6. Step 6: Final answer
    x = 12,470.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.