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Finding the Fourth Proportional to 12,013.67, 16,578.86 and 6,978.84

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Solution

The fourth proportional to 12,013.67, 16,578.86 and 6,978.84 is: 9,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.67 : 16,578.86 = 6,978.84 : x
  2. Step 2: Convert to fraction form
    12,013.67/16,578.86 = 6,978.84/x
  3. Step 3: Cross multiply
    12,013.67x = 16,578.86 × 6,978.84
  4. Step 4: Simplify right side
    12,013.67x = 115,701,176.43
  5. Step 5: Solve for x
    x = 115,701,176.43/12,013.67
  6. Step 6: Final answer
    x = 9,630.80

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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.