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Finding the Fourth Proportional to 13,412.75, 18,512.28 and 7,748.42

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Solution

The fourth proportional to 13,412.75, 18,512.28 and 7,748.42 is: 10,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.75 : 18,512.28 = 7,748.42 : x
  2. Step 2: Convert to fraction form
    13,412.75/18,512.28 = 7,748.42/x
  3. Step 3: Cross multiply
    13,412.75x = 18,512.28 × 7,748.42
  4. Step 4: Simplify right side
    13,412.75x = 143,440,828.04
  5. Step 5: Solve for x
    x = 143,440,828.04/13,412.75
  6. Step 6: Final answer
    x = 10,694.37

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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.