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Finding the Fourth Proportional to 21,048.14, 31,544.25 and 11,166.14

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Solution

The fourth proportional to 21,048.14, 31,544.25 and 11,166.14 is: 16,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.14 : 31,544.25 = 11,166.14 : x
  2. Step 2: Convert to fraction form
    21,048.14/31,544.25 = 11,166.14/x
  3. Step 3: Cross multiply
    21,048.14x = 31,544.25 × 11,166.14
  4. Step 4: Simplify right side
    21,048.14x = 352,227,353.97
  5. Step 5: Solve for x
    x = 352,227,353.97/21,048.14
  6. Step 6: Final answer
    x = 16,734.37

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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.