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Finding the Fourth Proportional to 27,808.57, 41,683.84 and 13,759.83

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Solution

The fourth proportional to 27,808.57, 41,683.84 and 13,759.83 is: 20,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.57 : 41,683.84 = 13,759.83 : x
  2. Step 2: Convert to fraction form
    27,808.57/41,683.84 = 13,759.83/x
  3. Step 3: Cross multiply
    27,808.57x = 41,683.84 × 13,759.83
  4. Step 4: Simplify right side
    27,808.57x = 573,562,552.15
  5. Step 5: Solve for x
    x = 573,562,552.15/27,808.57
  6. Step 6: Final answer
    x = 20,625.39

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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.