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Finding the Fourth Proportional to 16,024.77, 22,114.23 and 8,951.46

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Solution

The fourth proportional to 16,024.77, 22,114.23 and 8,951.46 is: 12,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.77 : 22,114.23 = 8,951.46 : x
  2. Step 2: Convert to fraction form
    16,024.77/22,114.23 = 8,951.46/x
  3. Step 3: Cross multiply
    16,024.77x = 22,114.23 × 8,951.46
  4. Step 4: Simplify right side
    16,024.77x = 197,954,645.28
  5. Step 5: Solve for x
    x = 197,954,645.28/16,024.77
  6. Step 6: Final answer
    x = 12,353.04

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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.