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Finding the Fourth Proportional to 14,584.50, 21,874.86 and 4,722.78

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Solution

The fourth proportional to 14,584.50, 21,874.86 and 4,722.78 is: 7,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.50 : 21,874.86 = 4,722.78 : x
  2. Step 2: Convert to fraction form
    14,584.50/21,874.86 = 4,722.78/x
  3. Step 3: Cross multiply
    14,584.50x = 21,874.86 × 4,722.78
  4. Step 4: Simplify right side
    14,584.50x = 103,310,151.31
  5. Step 5: Solve for x
    x = 103,310,151.31/14,584.50
  6. Step 6: Final answer
    x = 7,083.56

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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.