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Finding the Fourth Proportional to 13,916.70, 19,202.94 and 7,947.27

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Solution

The fourth proportional to 13,916.70, 19,202.94 and 7,947.27 is: 10,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.70 : 19,202.94 = 7,947.27 : x
  2. Step 2: Convert to fraction form
    13,916.70/19,202.94 = 7,947.27/x
  3. Step 3: Cross multiply
    13,916.70x = 19,202.94 × 7,947.27
  4. Step 4: Simplify right side
    13,916.70x = 152,610,948.97
  5. Step 5: Solve for x
    x = 152,610,948.97/13,916.70
  6. Step 6: Final answer
    x = 10,966.03

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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.