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Finding the Fourth Proportional to 18,647.34, 27,980.37 and 8,785.50

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Solution

The fourth proportional to 18,647.34, 27,980.37 and 8,785.50 is: 13,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.34 : 27,980.37 = 8,785.50 : x
  2. Step 2: Convert to fraction form
    18,647.34/27,980.37 = 8,785.50/x
  3. Step 3: Cross multiply
    18,647.34x = 27,980.37 × 8,785.50
  4. Step 4: Simplify right side
    18,647.34x = 245,821,540.64
  5. Step 5: Solve for x
    x = 245,821,540.64/18,647.34
  6. Step 6: Final answer
    x = 13,182.66

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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.