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Finding the Fourth Proportional to 13,744.60, 18,967.60 and 7,456.97

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Solution

The fourth proportional to 13,744.60, 18,967.60 and 7,456.97 is: 10,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.60 : 18,967.60 = 7,456.97 : x
  2. Step 2: Convert to fraction form
    13,744.60/18,967.60 = 7,456.97/x
  3. Step 3: Cross multiply
    13,744.60x = 18,967.60 × 7,456.97
  4. Step 4: Simplify right side
    13,744.60x = 141,440,880.91
  5. Step 5: Solve for x
    x = 141,440,880.91/13,744.60
  6. Step 6: Final answer
    x = 10,290.65

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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.