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Finding the Fourth Proportional to 11,957.42, 16,489.80 and 9,119.76

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Solution

The fourth proportional to 11,957.42, 16,489.80 and 9,119.76 is: 12,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.42 : 16,489.80 = 9,119.76 : x
  2. Step 2: Convert to fraction form
    11,957.42/16,489.80 = 9,119.76/x
  3. Step 3: Cross multiply
    11,957.42x = 16,489.80 × 9,119.76
  4. Step 4: Simplify right side
    11,957.42x = 150,383,018.45
  5. Step 5: Solve for x
    x = 150,383,018.45/11,957.42
  6. Step 6: Final answer
    x = 12,576.55

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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.