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Finding the Fourth Proportional to 17,821.27, 26,737.94 and 6,731.16

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Solution

The fourth proportional to 17,821.27, 26,737.94 and 6,731.16 is: 10,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.27 : 26,737.94 = 6,731.16 : x
  2. Step 2: Convert to fraction form
    17,821.27/26,737.94 = 6,731.16/x
  3. Step 3: Cross multiply
    17,821.27x = 26,737.94 × 6,731.16
  4. Step 4: Simplify right side
    17,821.27x = 179,977,352.21
  5. Step 5: Solve for x
    x = 179,977,352.21/17,821.27
  6. Step 6: Final answer
    x = 10,099.02

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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.