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Finding the Fourth Proportional to 18,512.50, 27,771.64 and 6,029.58

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Solution

The fourth proportional to 18,512.50, 27,771.64 and 6,029.58 is: 9,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512.50 : 27,771.64 = 6,029.58 : x
  2. Step 2: Convert to fraction form
    18,512.50/27,771.64 = 6,029.58/x
  3. Step 3: Cross multiply
    18,512.50x = 27,771.64 × 6,029.58
  4. Step 4: Simplify right side
    18,512.50x = 167,451,325.11
  5. Step 5: Solve for x
    x = 167,451,325.11/18,512.50
  6. Step 6: Final answer
    x = 9,045.31

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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.