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Finding the Fourth Proportional to 12,850.16, 17,732.78 and 7,544.84

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Solution

The fourth proportional to 12,850.16, 17,732.78 and 7,544.84 is: 10,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.16 : 17,732.78 = 7,544.84 : x
  2. Step 2: Convert to fraction form
    12,850.16/17,732.78 = 7,544.84/x
  3. Step 3: Cross multiply
    12,850.16x = 17,732.78 × 7,544.84
  4. Step 4: Simplify right side
    12,850.16x = 133,790,987.86
  5. Step 5: Solve for x
    x = 133,790,987.86/12,850.16
  6. Step 6: Final answer
    x = 10,411.62

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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.