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Finding the Fourth Proportional to 21,058.68, 31,576.98 and 10,517.40

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Solution

The fourth proportional to 21,058.68, 31,576.98 and 10,517.40 is: 15,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.68 : 31,576.98 = 10,517.40 : x
  2. Step 2: Convert to fraction form
    21,058.68/31,576.98 = 10,517.40/x
  3. Step 3: Cross multiply
    21,058.68x = 31,576.98 × 10,517.40
  4. Step 4: Simplify right side
    21,058.68x = 332,107,729.45
  5. Step 5: Solve for x
    x = 332,107,729.45/21,058.68
  6. Step 6: Final answer
    x = 15,770.59

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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.