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Finding the Fourth Proportional to 21,661.50, 29,892.87 and 12,229.86

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Solution

The fourth proportional to 21,661.50, 29,892.87 and 12,229.86 is: 16,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.50 : 29,892.87 = 12,229.86 : x
  2. Step 2: Convert to fraction form
    21,661.50/29,892.87 = 12,229.86/x
  3. Step 3: Cross multiply
    21,661.50x = 29,892.87 × 12,229.86
  4. Step 4: Simplify right side
    21,661.50x = 365,585,615.10
  5. Step 5: Solve for x
    x = 365,585,615.10/21,661.50
  6. Step 6: Final answer
    x = 16,877.21

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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.