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Finding the Fourth Proportional to 20,542.56, 28,347.12 and 11,592.24

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Solution

The fourth proportional to 20,542.56, 28,347.12 and 11,592.24 is: 15,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.56 : 28,347.12 = 11,592.24 : x
  2. Step 2: Convert to fraction form
    20,542.56/28,347.12 = 11,592.24/x
  3. Step 3: Cross multiply
    20,542.56x = 28,347.12 × 11,592.24
  4. Step 4: Simplify right side
    20,542.56x = 328,606,618.35
  5. Step 5: Solve for x
    x = 328,606,618.35/20,542.56
  6. Step 6: Final answer
    x = 15,996.38

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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.