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Finding the Fourth Proportional to 12,800.20, 17,664.30 and 7,493.96

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Solution

The fourth proportional to 12,800.20, 17,664.30 and 7,493.96 is: 10,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.20 : 17,664.30 = 7,493.96 : x
  2. Step 2: Convert to fraction form
    12,800.20/17,664.30 = 7,493.96/x
  3. Step 3: Cross multiply
    12,800.20x = 17,664.30 × 7,493.96
  4. Step 4: Simplify right side
    12,800.20x = 132,375,557.63
  5. Step 5: Solve for x
    x = 132,375,557.63/12,800.20
  6. Step 6: Final answer
    x = 10,341.68

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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.