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Finding the Fourth Proportional to 21,114.76, 31,677.61 and 7,967.25

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Solution

The fourth proportional to 21,114.76, 31,677.61 and 7,967.25 is: 11,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.76 : 31,677.61 = 7,967.25 : x
  2. Step 2: Convert to fraction form
    21,114.76/31,677.61 = 7,967.25/x
  3. Step 3: Cross multiply
    21,114.76x = 31,677.61 × 7,967.25
  4. Step 4: Simplify right side
    21,114.76x = 252,383,438.27
  5. Step 5: Solve for x
    x = 252,383,438.27/21,114.76
  6. Step 6: Final answer
    x = 11,952.94

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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.