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Finding the Fourth Proportional to 27,858.52, 41,793.94 and 13,826.20

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Solution

The fourth proportional to 27,858.52, 41,793.94 and 13,826.20 is: 20,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.52 : 41,793.94 = 13,826.20 : x
  2. Step 2: Convert to fraction form
    27,858.52/41,793.94 = 13,826.20/x
  3. Step 3: Cross multiply
    27,858.52x = 41,793.94 × 13,826.20
  4. Step 4: Simplify right side
    27,858.52x = 577,851,373.23
  5. Step 5: Solve for x
    x = 577,851,373.23/27,858.52
  6. Step 6: Final answer
    x = 20,742.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.