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Finding the Fourth Proportional to 13,383.14, 18,468.87 and 7,414.90

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Solution

The fourth proportional to 13,383.14, 18,468.87 and 7,414.90 is: 10,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.14 : 18,468.87 = 7,414.90 : x
  2. Step 2: Convert to fraction form
    13,383.14/18,468.87 = 7,414.90/x
  3. Step 3: Cross multiply
    13,383.14x = 18,468.87 × 7,414.90
  4. Step 4: Simplify right side
    13,383.14x = 136,944,824.16
  5. Step 5: Solve for x
    x = 136,944,824.16/13,383.14
  6. Step 6: Final answer
    x = 10,232.64

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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.