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Finding the Fourth Proportional to 18,253.54, 27,370.52 and 5,768.20

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Solution

The fourth proportional to 18,253.54, 27,370.52 and 5,768.20 is: 8,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,253.54 : 27,370.52 = 5,768.20 : x
  2. Step 2: Convert to fraction form
    18,253.54/27,370.52 = 5,768.20/x
  3. Step 3: Cross multiply
    18,253.54x = 27,370.52 × 5,768.20
  4. Step 4: Simplify right side
    18,253.54x = 157,878,633.46
  5. Step 5: Solve for x
    x = 157,878,633.46/18,253.54
  6. Step 6: Final answer
    x = 8,649.21

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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.