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Finding the Fourth Proportional to 11,549.46, 17,324.20 and 6,615.68

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Solution

The fourth proportional to 11,549.46, 17,324.20 and 6,615.68 is: 9,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.46 : 17,324.20 = 6,615.68 : x
  2. Step 2: Convert to fraction form
    11,549.46/17,324.20 = 6,615.68/x
  3. Step 3: Cross multiply
    11,549.46x = 17,324.20 × 6,615.68
  4. Step 4: Simplify right side
    11,549.46x = 114,611,363.46
  5. Step 5: Solve for x
    x = 114,611,363.46/11,549.46
  6. Step 6: Final answer
    x = 9,923.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.