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Finding the Fourth Proportional to 11,516.21, 17,274.24 and 9,951.45

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Solution

The fourth proportional to 11,516.21, 17,274.24 and 9,951.45 is: 14,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.21 : 17,274.24 = 9,951.45 : x
  2. Step 2: Convert to fraction form
    11,516.21/17,274.24 = 9,951.45/x
  3. Step 3: Cross multiply
    11,516.21x = 17,274.24 × 9,951.45
  4. Step 4: Simplify right side
    11,516.21x = 171,903,735.65
  5. Step 5: Solve for x
    x = 171,903,735.65/11,516.21
  6. Step 6: Final answer
    x = 14,927.11

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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.