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Finding the Fourth Proportional to 13,414.52, 18,530.70 and 12,758.42

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Solution

The fourth proportional to 13,414.52, 18,530.70 and 12,758.42 is: 17,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.52 : 18,530.70 = 12,758.42 : x
  2. Step 2: Convert to fraction form
    13,414.52/18,530.70 = 12,758.42/x
  3. Step 3: Cross multiply
    13,414.52x = 18,530.70 × 12,758.42
  4. Step 4: Simplify right side
    13,414.52x = 236,422,453.49
  5. Step 5: Solve for x
    x = 236,422,453.49/13,414.52
  6. Step 6: Final answer
    x = 17,624.37

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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.