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Finding the Fourth Proportional to 10,980.54, 16,442.33 and 9,221.49

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Solution

The fourth proportional to 10,980.54, 16,442.33 and 9,221.49 is: 13,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.54 : 16,442.33 = 9,221.49 : x
  2. Step 2: Convert to fraction form
    10,980.54/16,442.33 = 9,221.49/x
  3. Step 3: Cross multiply
    10,980.54x = 16,442.33 × 9,221.49
  4. Step 4: Simplify right side
    10,980.54x = 151,622,735.56
  5. Step 5: Solve for x
    x = 151,622,735.56/10,980.54
  6. Step 6: Final answer
    x = 13,808.31

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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.