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Finding the Fourth Proportional to 14,111.85, 21,149.21 and 7,874.80

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Solution

The fourth proportional to 14,111.85, 21,149.21 and 7,874.80 is: 11,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.85 : 21,149.21 = 7,874.80 : x
  2. Step 2: Convert to fraction form
    14,111.85/21,149.21 = 7,874.80/x
  3. Step 3: Cross multiply
    14,111.85x = 21,149.21 × 7,874.80
  4. Step 4: Simplify right side
    14,111.85x = 166,545,798.91
  5. Step 5: Solve for x
    x = 166,545,798.91/14,111.85
  6. Step 6: Final answer
    x = 11,801.84

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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.