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Finding the Fourth Proportional to 20,001.38, 27,607.23 and 12,443.42

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Solution

The fourth proportional to 20,001.38, 27,607.23 and 12,443.42 is: 17,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.38 : 27,607.23 = 12,443.42 : x
  2. Step 2: Convert to fraction form
    20,001.38/27,607.23 = 12,443.42/x
  3. Step 3: Cross multiply
    20,001.38x = 27,607.23 × 12,443.42
  4. Step 4: Simplify right side
    20,001.38x = 343,528,219.89
  5. Step 5: Solve for x
    x = 343,528,219.89/20,001.38
  6. Step 6: Final answer
    x = 17,175.23

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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.