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Finding the Fourth Proportional to 11,753.20, 17,629.80 and 11,206.45

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Solution

The fourth proportional to 11,753.20, 17,629.80 and 11,206.45 is: 16,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.20 : 17,629.80 = 11,206.45 : x
  2. Step 2: Convert to fraction form
    11,753.20/17,629.80 = 11,206.45/x
  3. Step 3: Cross multiply
    11,753.20x = 17,629.80 × 11,206.45
  4. Step 4: Simplify right side
    11,753.20x = 197,567,472.21
  5. Step 5: Solve for x
    x = 197,567,472.21/11,753.20
  6. Step 6: Final answer
    x = 16,809.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.