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Finding the Fourth Proportional to 13,096.14, 18,074.68 and 7,431.52

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Solution

The fourth proportional to 13,096.14, 18,074.68 and 7,431.52 is: 10,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.14 : 18,074.68 = 7,431.52 : x
  2. Step 2: Convert to fraction form
    13,096.14/18,074.68 = 7,431.52/x
  3. Step 3: Cross multiply
    13,096.14x = 18,074.68 × 7,431.52
  4. Step 4: Simplify right side
    13,096.14x = 134,322,345.91
  5. Step 5: Solve for x
    x = 134,322,345.91/13,096.14
  6. Step 6: Final answer
    x = 10,256.64

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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.