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Finding the Fourth Proportional to 20,146.38, 27,807.48 and 12,588.18

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Solution

The fourth proportional to 20,146.38, 27,807.48 and 12,588.18 is: 17,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.38 : 27,807.48 = 12,588.18 : x
  2. Step 2: Convert to fraction form
    20,146.38/27,807.48 = 12,588.18/x
  3. Step 3: Cross multiply
    20,146.38x = 27,807.48 × 12,588.18
  4. Step 4: Simplify right side
    20,146.38x = 350,045,563.59
  5. Step 5: Solve for x
    x = 350,045,563.59/20,146.38
  6. Step 6: Final answer
    x = 17,375.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.