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Finding the Fourth Proportional to 16,010, 23,982.84 and 7,980.60

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Solution

The fourth proportional to 16,010, 23,982.84 and 7,980.60 is: 11,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010 : 23,982.84 = 7,980.60 : x
  2. Step 2: Convert to fraction form
    16,010/23,982.84 = 7,980.60/x
  3. Step 3: Cross multiply
    16,010x = 23,982.84 × 7,980.60
  4. Step 4: Simplify right side
    16,010x = 191,397,452.90
  5. Step 5: Solve for x
    x = 191,397,452.90/16,010
  6. Step 6: Final answer
    x = 11,954.87

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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.