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Finding the Fourth Proportional to 13,096.74, 18,067.56 and 7,788.54

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Solution

The fourth proportional to 13,096.74, 18,067.56 and 7,788.54 is: 10,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.74 : 18,067.56 = 7,788.54 : x
  2. Step 2: Convert to fraction form
    13,096.74/18,067.56 = 7,788.54/x
  3. Step 3: Cross multiply
    13,096.74x = 18,067.56 × 7,788.54
  4. Step 4: Simplify right side
    13,096.74x = 140,719,913.76
  5. Step 5: Solve for x
    x = 140,719,913.76/13,096.74
  6. Step 6: Final answer
    x = 10,744.65

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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.