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Finding the Fourth Proportional to 21,124, 31,686.45 and 7,982.56

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Solution

The fourth proportional to 21,124, 31,686.45 and 7,982.56 is: 11,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124 : 31,686.45 = 7,982.56 : x
  2. Step 2: Convert to fraction form
    21,124/31,686.45 = 7,982.56/x
  3. Step 3: Cross multiply
    21,124x = 31,686.45 × 7,982.56
  4. Step 4: Simplify right side
    21,124x = 252,938,988.31
  5. Step 5: Solve for x
    x = 252,938,988.31/21,124
  6. Step 6: Final answer
    x = 11,974.01

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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.