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Finding the Fourth Proportional to 20,000.42, 27,603.89 and 15,236.10

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Solution

The fourth proportional to 20,000.42, 27,603.89 and 15,236.10 is: 21,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.42 : 27,603.89 = 15,236.10 : x
  2. Step 2: Convert to fraction form
    20,000.42/27,603.89 = 15,236.10/x
  3. Step 3: Cross multiply
    20,000.42x = 27,603.89 × 15,236.10
  4. Step 4: Simplify right side
    20,000.42x = 420,575,609.38
  5. Step 5: Solve for x
    x = 420,575,609.38/20,000.42
  6. Step 6: Final answer
    x = 21,028.34

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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.