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Finding the Fourth Proportional to 27,196.38, 40,798.89 and 11,614.14

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Solution

The fourth proportional to 27,196.38, 40,798.89 and 11,614.14 is: 17,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.38 : 40,798.89 = 11,614.14 : x
  2. Step 2: Convert to fraction form
    27,196.38/40,798.89 = 11,614.14/x
  3. Step 3: Cross multiply
    27,196.38x = 40,798.89 × 11,614.14
  4. Step 4: Simplify right side
    27,196.38x = 473,844,020.30
  5. Step 5: Solve for x
    x = 473,844,020.30/27,196.38
  6. Step 6: Final answer
    x = 17,423.05

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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.