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Finding the Fourth Proportional to 18,980.12, 26,183.25 and 12,271.50

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Solution

The fourth proportional to 18,980.12, 26,183.25 and 12,271.50 is: 16,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,980.12 : 26,183.25 = 12,271.50 : x
  2. Step 2: Convert to fraction form
    18,980.12/26,183.25 = 12,271.50/x
  3. Step 3: Cross multiply
    18,980.12x = 26,183.25 × 12,271.50
  4. Step 4: Simplify right side
    18,980.12x = 321,307,752.38
  5. Step 5: Solve for x
    x = 321,307,752.38/18,980.12
  6. Step 6: Final answer
    x = 16,928.64

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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.