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Finding the Fourth Proportional to 21,874.86, 32,817.49 and 7,083.77

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Solution

The fourth proportional to 21,874.86, 32,817.49 and 7,083.77 is: 10,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.86 : 32,817.49 = 7,083.77 : x
  2. Step 2: Convert to fraction form
    21,874.86/32,817.49 = 7,083.77/x
  3. Step 3: Cross multiply
    21,874.86x = 32,817.49 × 7,083.77
  4. Step 4: Simplify right side
    21,874.86x = 232,471,369.34
  5. Step 5: Solve for x
    x = 232,471,369.34/21,874.86
  6. Step 6: Final answer
    x = 10,627.33

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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.