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Finding the Fourth Proportional to 13,149.76, 18,146.99 and 7,181.38

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Solution

The fourth proportional to 13,149.76, 18,146.99 and 7,181.38 is: 9,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.76 : 18,146.99 = 7,181.38 : x
  2. Step 2: Convert to fraction form
    13,149.76/18,146.99 = 7,181.38/x
  3. Step 3: Cross multiply
    13,149.76x = 18,146.99 × 7,181.38
  4. Step 4: Simplify right side
    13,149.76x = 130,320,349.77
  5. Step 5: Solve for x
    x = 130,320,349.77/13,149.76
  6. Step 6: Final answer
    x = 9,910.48

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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.