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Finding the Fourth Proportional to 20,030.25, 27,642.17 and 11,078.37

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Solution

The fourth proportional to 20,030.25, 27,642.17 and 11,078.37 is: 15,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.25 : 27,642.17 = 11,078.37 : x
  2. Step 2: Convert to fraction form
    20,030.25/27,642.17 = 11,078.37/x
  3. Step 3: Cross multiply
    20,030.25x = 27,642.17 × 11,078.37
  4. Step 4: Simplify right side
    20,030.25x = 306,230,186.86
  5. Step 5: Solve for x
    x = 306,230,186.86/20,030.25
  6. Step 6: Final answer
    x = 15,288.39

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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.