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Finding the Fourth Proportional to 12,036.67, 17,962.09 and 10,578.82

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Solution

The fourth proportional to 12,036.67, 17,962.09 and 10,578.82 is: 15,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.67 : 17,962.09 = 10,578.82 : x
  2. Step 2: Convert to fraction form
    12,036.67/17,962.09 = 10,578.82/x
  3. Step 3: Cross multiply
    12,036.67x = 17,962.09 × 10,578.82
  4. Step 4: Simplify right side
    12,036.67x = 190,017,716.93
  5. Step 5: Solve for x
    x = 190,017,716.93/12,036.67
  6. Step 6: Final answer
    x = 15,786.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.