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Finding the Fourth Proportional to 13,663.70, 18,849.23 and 11,772

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Solution

The fourth proportional to 13,663.70, 18,849.23 and 11,772 is: 16,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.70 : 18,849.23 = 11,772 : x
  2. Step 2: Convert to fraction form
    13,663.70/18,849.23 = 11,772/x
  3. Step 3: Cross multiply
    13,663.70x = 18,849.23 × 11,772
  4. Step 4: Simplify right side
    13,663.70x = 221,893,135.56
  5. Step 5: Solve for x
    x = 221,893,135.56/13,663.70
  6. Step 6: Final answer
    x = 16,239.61

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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.