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Finding the Fourth Proportional to 21,138.26, 31,711.04 and 7,099.64

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Solution

The fourth proportional to 21,138.26, 31,711.04 and 7,099.64 is: 10,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.26 : 31,711.04 = 7,099.64 : x
  2. Step 2: Convert to fraction form
    21,138.26/31,711.04 = 7,099.64/x
  3. Step 3: Cross multiply
    21,138.26x = 31,711.04 × 7,099.64
  4. Step 4: Simplify right side
    21,138.26x = 225,136,968.03
  5. Step 5: Solve for x
    x = 225,136,968.03/21,138.26
  6. Step 6: Final answer
    x = 10,650.69

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Why These Related Problems?

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