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Finding the Fourth Proportional to 12,013.89, 16,578.46 and 6,709.05

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Solution

The fourth proportional to 12,013.89, 16,578.46 and 6,709.05 is: 9,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.89 : 16,578.46 = 6,709.05 : x
  2. Step 2: Convert to fraction form
    12,013.89/16,578.46 = 6,709.05/x
  3. Step 3: Cross multiply
    12,013.89x = 16,578.46 × 6,709.05
  4. Step 4: Simplify right side
    12,013.89x = 111,225,717.06
  5. Step 5: Solve for x
    x = 111,225,717.06/12,013.89
  6. Step 6: Final answer
    x = 9,258.09

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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.