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Finding the Fourth Proportional to 13,181.13, 18,189.90 and 7,212.74

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Solution

The fourth proportional to 13,181.13, 18,189.90 and 7,212.74 is: 9,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.13 : 18,189.90 = 7,212.74 : x
  2. Step 2: Convert to fraction form
    13,181.13/18,189.90 = 7,212.74/x
  3. Step 3: Cross multiply
    13,181.13x = 18,189.90 × 7,212.74
  4. Step 4: Simplify right side
    13,181.13x = 131,198,928.38
  5. Step 5: Solve for x
    x = 131,198,928.38/13,181.13
  6. Step 6: Final answer
    x = 9,953.54

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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.