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Finding the Fourth Proportional to 12,573.76, 17,363.46 and 8,107.96

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Solution

The fourth proportional to 12,573.76, 17,363.46 and 8,107.96 is: 11,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.76 : 17,363.46 = 8,107.96 : x
  2. Step 2: Convert to fraction form
    12,573.76/17,363.46 = 8,107.96/x
  3. Step 3: Cross multiply
    12,573.76x = 17,363.46 × 8,107.96
  4. Step 4: Simplify right side
    12,573.76x = 140,782,239.14
  5. Step 5: Solve for x
    x = 140,782,239.14/12,573.76
  6. Step 6: Final answer
    x = 11,196.51

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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.