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Finding the Fourth Proportional to 14,596.90, 21,879.15 and 8,027.80

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Solution

The fourth proportional to 14,596.90, 21,879.15 and 8,027.80 is: 12,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.90 : 21,879.15 = 8,027.80 : x
  2. Step 2: Convert to fraction form
    14,596.90/21,879.15 = 8,027.80/x
  3. Step 3: Cross multiply
    14,596.90x = 21,879.15 × 8,027.80
  4. Step 4: Simplify right side
    14,596.90x = 175,641,440.37
  5. Step 5: Solve for x
    x = 175,641,440.37/14,596.90
  6. Step 6: Final answer
    x = 12,032.79

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