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Finding the Fourth Proportional to 34,149.60, 51,223.50 and 14,422.86

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Solution

The fourth proportional to 34,149.60, 51,223.50 and 14,422.86 is: 21,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.60 : 51,223.50 = 14,422.86 : x
  2. Step 2: Convert to fraction form
    34,149.60/51,223.50 = 14,422.86/x
  3. Step 3: Cross multiply
    34,149.60x = 51,223.50 × 14,422.86
  4. Step 4: Simplify right side
    34,149.60x = 738,789,369.21
  5. Step 5: Solve for x
    x = 738,789,369.21/34,149.60
  6. Step 6: Final answer
    x = 21,633.91

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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.