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Finding the Fourth Proportional to 16,256.54, 22,433.72 and 9,086.55

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Solution

The fourth proportional to 16,256.54, 22,433.72 and 9,086.55 is: 12,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.54 : 22,433.72 = 9,086.55 : x
  2. Step 2: Convert to fraction form
    16,256.54/22,433.72 = 9,086.55/x
  3. Step 3: Cross multiply
    16,256.54x = 22,433.72 × 9,086.55
  4. Step 4: Simplify right side
    16,256.54x = 203,845,073.03
  5. Step 5: Solve for x
    x = 203,845,073.03/16,256.54
  6. Step 6: Final answer
    x = 12,539.27

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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.