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Finding the Fourth Proportional to 21,799.89, 30,082.98 and 12,847.77

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Solution

The fourth proportional to 21,799.89, 30,082.98 and 12,847.77 is: 17,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,799.89 : 30,082.98 = 12,847.77 : x
  2. Step 2: Convert to fraction form
    21,799.89/30,082.98 = 12,847.77/x
  3. Step 3: Cross multiply
    21,799.89x = 30,082.98 × 12,847.77
  4. Step 4: Simplify right side
    21,799.89x = 386,499,207.95
  5. Step 5: Solve for x
    x = 386,499,207.95/21,799.89
  6. Step 6: Final answer
    x = 17,729.41

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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.