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Finding the Fourth Proportional to 21,982.84, 30,338.50 and 12,552.82

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Solution

The fourth proportional to 21,982.84, 30,338.50 and 12,552.82 is: 17,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.84 : 30,338.50 = 12,552.82 : x
  2. Step 2: Convert to fraction form
    21,982.84/30,338.50 = 12,552.82/x
  3. Step 3: Cross multiply
    21,982.84x = 30,338.50 × 12,552.82
  4. Step 4: Simplify right side
    21,982.84x = 380,833,729.57
  5. Step 5: Solve for x
    x = 380,833,729.57/21,982.84
  6. Step 6: Final answer
    x = 17,324.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.