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Finding the Fourth Proportional to 21,400, 29,532.11 and 11,968.57

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Solution

The fourth proportional to 21,400, 29,532.11 and 11,968.57 is: 16,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400 : 29,532.11 = 11,968.57 : x
  2. Step 2: Convert to fraction form
    21,400/29,532.11 = 11,968.57/x
  3. Step 3: Cross multiply
    21,400x = 29,532.11 × 11,968.57
  4. Step 4: Simplify right side
    21,400x = 353,457,125.78
  5. Step 5: Solve for x
    x = 353,457,125.78/21,400
  6. Step 6: Final answer
    x = 16,516.69

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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.