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Finding the Fourth Proportional to 34,149.64, 51,223.50 and 14,422.84

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Solution

The fourth proportional to 34,149.64, 51,223.50 and 14,422.84 is: 21,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.64 : 51,223.50 = 14,422.84 : x
  2. Step 2: Convert to fraction form
    34,149.64/51,223.50 = 14,422.84/x
  3. Step 3: Cross multiply
    34,149.64x = 51,223.50 × 14,422.84
  4. Step 4: Simplify right side
    34,149.64x = 738,788,344.74
  5. Step 5: Solve for x
    x = 738,788,344.74/34,149.64
  6. Step 6: Final answer
    x = 21,633.85

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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.