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Finding the Fourth Proportional to 16,256.46, 22,433.64 and 9,086.55

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Solution

The fourth proportional to 16,256.46, 22,433.64 and 9,086.55 is: 12,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.46 : 22,433.64 = 9,086.55 : x
  2. Step 2: Convert to fraction form
    16,256.46/22,433.64 = 9,086.55/x
  3. Step 3: Cross multiply
    16,256.46x = 22,433.64 × 9,086.55
  4. Step 4: Simplify right side
    16,256.46x = 203,844,391.54
  5. Step 5: Solve for x
    x = 203,844,391.54/16,256.46
  6. Step 6: Final answer
    x = 12,539.29

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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.