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Finding the Fourth Proportional to 27,196.81, 40,785.97 and 9,423.32

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Solution

The fourth proportional to 27,196.81, 40,785.97 and 9,423.32 is: 14,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.81 : 40,785.97 = 9,423.32 : x
  2. Step 2: Convert to fraction form
    27,196.81/40,785.97 = 9,423.32/x
  3. Step 3: Cross multiply
    27,196.81x = 40,785.97 × 9,423.32
  4. Step 4: Simplify right side
    27,196.81x = 384,339,282.16
  5. Step 5: Solve for x
    x = 384,339,282.16/27,196.81
  6. Step 6: Final answer
    x = 14,131.78

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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.