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Finding the Fourth Proportional to 17,764.96, 24,515.14 and 9,806.60

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Solution

The fourth proportional to 17,764.96, 24,515.14 and 9,806.60 is: 13,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.96 : 24,515.14 = 9,806.60 : x
  2. Step 2: Convert to fraction form
    17,764.96/24,515.14 = 9,806.60/x
  3. Step 3: Cross multiply
    17,764.96x = 24,515.14 × 9,806.60
  4. Step 4: Simplify right side
    17,764.96x = 240,410,171.92
  5. Step 5: Solve for x
    x = 240,410,171.92/17,764.96
  6. Step 6: Final answer
    x = 13,532.83

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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.