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Finding the Fourth Proportional to 13,384.08, 18,468.53 and 7,414.27

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Solution

The fourth proportional to 13,384.08, 18,468.53 and 7,414.27 is: 10,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.08 : 18,468.53 = 7,414.27 : x
  2. Step 2: Convert to fraction form
    13,384.08/18,468.53 = 7,414.27/x
  3. Step 3: Cross multiply
    13,384.08x = 18,468.53 × 7,414.27
  4. Step 4: Simplify right side
    13,384.08x = 136,930,667.92
  5. Step 5: Solve for x
    x = 136,930,667.92/13,384.08
  6. Step 6: Final answer
    x = 10,230.86

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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.