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Finding the Fourth Proportional to 11,961.68, 18,032.12 and 11,158.86

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Solution

The fourth proportional to 11,961.68, 18,032.12 and 11,158.86 is: 16,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.68 : 18,032.12 = 11,158.86 : x
  2. Step 2: Convert to fraction form
    11,961.68/18,032.12 = 11,158.86/x
  3. Step 3: Cross multiply
    11,961.68x = 18,032.12 × 11,158.86
  4. Step 4: Simplify right side
    11,961.68x = 201,217,956.26
  5. Step 5: Solve for x
    x = 201,217,956.26/11,961.68
  6. Step 6: Final answer
    x = 16,821.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.