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Finding the Fourth Proportional to 11,730.78, 17,568.72 and 10,183.50

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Solution

The fourth proportional to 11,730.78, 17,568.72 and 10,183.50 is: 15,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.78 : 17,568.72 = 10,183.50 : x
  2. Step 2: Convert to fraction form
    11,730.78/17,568.72 = 10,183.50/x
  3. Step 3: Cross multiply
    11,730.78x = 17,568.72 × 10,183.50
  4. Step 4: Simplify right side
    11,730.78x = 178,911,060.12
  5. Step 5: Solve for x
    x = 178,911,060.12/11,730.78
  6. Step 6: Final answer
    x = 15,251.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.