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Finding the Fourth Proportional to 11,785.92, 17,679.12 and 9,435.02

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Solution

The fourth proportional to 11,785.92, 17,679.12 and 9,435.02 is: 14,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.92 : 17,679.12 = 9,435.02 : x
  2. Step 2: Convert to fraction form
    11,785.92/17,679.12 = 9,435.02/x
  3. Step 3: Cross multiply
    11,785.92x = 17,679.12 × 9,435.02
  4. Step 4: Simplify right side
    11,785.92x = 166,802,850.78
  5. Step 5: Solve for x
    x = 166,802,850.78/11,785.92
  6. Step 6: Final answer
    x = 14,152.72

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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.