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Finding the Fourth Proportional to 13,869.72, 20,812.80 and 7,296.42

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Solution

The fourth proportional to 13,869.72, 20,812.80 and 7,296.42 is: 10,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.72 : 20,812.80 = 7,296.42 : x
  2. Step 2: Convert to fraction form
    13,869.72/20,812.80 = 7,296.42/x
  3. Step 3: Cross multiply
    13,869.72x = 20,812.80 × 7,296.42
  4. Step 4: Simplify right side
    13,869.72x = 151,858,930.18
  5. Step 5: Solve for x
    x = 151,858,930.18/13,869.72
  6. Step 6: Final answer
    x = 10,948.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.