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Finding the Fourth Proportional to 13,648.62, 18,832.86 and 9,179.85

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Solution

The fourth proportional to 13,648.62, 18,832.86 and 9,179.85 is: 12,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.62 : 18,832.86 = 9,179.85 : x
  2. Step 2: Convert to fraction form
    13,648.62/18,832.86 = 9,179.85/x
  3. Step 3: Cross multiply
    13,648.62x = 18,832.86 × 9,179.85
  4. Step 4: Simplify right side
    13,648.62x = 172,882,829.87
  5. Step 5: Solve for x
    x = 172,882,829.87/13,648.62
  6. Step 6: Final answer
    x = 12,666.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.