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Finding the Fourth Proportional to 13,916.67, 19,204.97 and 7,629.09

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Solution

The fourth proportional to 13,916.67, 19,204.97 and 7,629.09 is: 10,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.67 : 19,204.97 = 7,629.09 : x
  2. Step 2: Convert to fraction form
    13,916.67/19,204.97 = 7,629.09/x
  3. Step 3: Cross multiply
    13,916.67x = 19,204.97 × 7,629.09
  4. Step 4: Simplify right side
    13,916.67x = 146,516,348.55
  5. Step 5: Solve for x
    x = 146,516,348.55/13,916.67
  6. Step 6: Final answer
    x = 10,528.12

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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.