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Finding the Fourth Proportional to 13,410.96, 18,507.14 and 7,442.64

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Solution

The fourth proportional to 13,410.96, 18,507.14 and 7,442.64 is: 10,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.96 : 18,507.14 = 7,442.64 : x
  2. Step 2: Convert to fraction form
    13,410.96/18,507.14 = 7,442.64/x
  3. Step 3: Cross multiply
    13,410.96x = 18,507.14 × 7,442.64
  4. Step 4: Simplify right side
    13,410.96x = 137,741,850.70
  5. Step 5: Solve for x
    x = 137,741,850.70/13,410.96
  6. Step 6: Final answer
    x = 10,270.84

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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.