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Finding the Fourth Proportional to 11,920.10, 17,881.16 and 3,154.88

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Solution

The fourth proportional to 11,920.10, 17,881.16 and 3,154.88 is: 4,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.10 : 17,881.16 = 3,154.88 : x
  2. Step 2: Convert to fraction form
    11,920.10/17,881.16 = 3,154.88/x
  3. Step 3: Cross multiply
    11,920.10x = 17,881.16 × 3,154.88
  4. Step 4: Simplify right side
    11,920.10x = 56,412,942.99
  5. Step 5: Solve for x
    x = 56,412,942.99/11,920.10
  6. Step 6: Final answer
    x = 4,732.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.