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Finding the Fourth Proportional to 21,517.78, 29,697.32 and 12,086.34

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Solution

The fourth proportional to 21,517.78, 29,697.32 and 12,086.34 is: 16,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517.78 : 29,697.32 = 12,086.34 : x
  2. Step 2: Convert to fraction form
    21,517.78/29,697.32 = 12,086.34/x
  3. Step 3: Cross multiply
    21,517.78x = 29,697.32 × 12,086.34
  4. Step 4: Simplify right side
    21,517.78x = 358,931,906.61
  5. Step 5: Solve for x
    x = 358,931,906.61/21,517.78
  6. Step 6: Final answer
    x = 16,680.71

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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.